Approximation of nonlinear differential functional equations
We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the so...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ilika, S. A. [verfasserIn] Cherevko, I. M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
Ordinary Differential Equation |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical sciences - New York, NY : Consultants Bureau, 1973, 190(2013), 5 vom: 05. Apr., Seite 669-682 |
|---|---|
| Übergeordnetes Werk: |
volume:190 ; year:2013 ; number:5 ; day:05 ; month:04 ; pages:669-682 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10958-013-1279-8 |
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| Katalog-ID: |
SPR015045064 |
|---|
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| 100 | 1 | |a Ilika, S. A. |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Approximation of nonlinear differential functional equations |
| 264 | 1 | |c 2013 | |
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| 520 | |a We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. | ||
| 650 | 4 | |a Ordinary Differential Equation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Cauchy Problem |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Differential Functional Equation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Delay Differential Equation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Differential Algebraic Equation |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Cherevko, I. M. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of mathematical sciences |d New York, NY : Consultants Bureau, 1973 |g 190(2013), 5 vom: 05. Apr., Seite 669-682 |w (DE-627)325570523 |w (DE-600)2037345-4 |x 1573-8795 |7 nnns |
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| 912 | |a GBV_ILN_4338 | ||
| 912 | |a GBV_ILN_4393 | ||
| 912 | |a GBV_ILN_4700 | ||
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article:15738795:2013----::prxmtoonnierifrnilu |
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2013 |
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31.00 |
| publishDate |
2013 |
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10.1007/s10958-013-1279-8 doi (DE-627)SPR015045064 (SPR)s10958-013-1279-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Ilika, S. A. verfasserin aut Approximation of nonlinear differential functional equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. Ordinary Differential Equation (dpeaa)DE-He213 Cauchy Problem (dpeaa)DE-He213 Differential Functional Equation (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Differential Algebraic Equation (dpeaa)DE-He213 Cherevko, I. M. verfasserin aut Enthalten in Journal of mathematical sciences New York, NY : Consultants Bureau, 1973 190(2013), 5 vom: 05. Apr., Seite 669-682 (DE-627)325570523 (DE-600)2037345-4 1573-8795 nnns volume:190 year:2013 number:5 day:05 month:04 pages:669-682 https://dx.doi.org/10.1007/s10958-013-1279-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 190 2013 5 05 04 669-682 |
| spelling |
10.1007/s10958-013-1279-8 doi (DE-627)SPR015045064 (SPR)s10958-013-1279-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Ilika, S. A. verfasserin aut Approximation of nonlinear differential functional equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. Ordinary Differential Equation (dpeaa)DE-He213 Cauchy Problem (dpeaa)DE-He213 Differential Functional Equation (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Differential Algebraic Equation (dpeaa)DE-He213 Cherevko, I. M. verfasserin aut Enthalten in Journal of mathematical sciences New York, NY : Consultants Bureau, 1973 190(2013), 5 vom: 05. Apr., Seite 669-682 (DE-627)325570523 (DE-600)2037345-4 1573-8795 nnns volume:190 year:2013 number:5 day:05 month:04 pages:669-682 https://dx.doi.org/10.1007/s10958-013-1279-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 190 2013 5 05 04 669-682 |
| allfields_unstemmed |
10.1007/s10958-013-1279-8 doi (DE-627)SPR015045064 (SPR)s10958-013-1279-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Ilika, S. A. verfasserin aut Approximation of nonlinear differential functional equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. Ordinary Differential Equation (dpeaa)DE-He213 Cauchy Problem (dpeaa)DE-He213 Differential Functional Equation (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Differential Algebraic Equation (dpeaa)DE-He213 Cherevko, I. M. verfasserin aut Enthalten in Journal of mathematical sciences New York, NY : Consultants Bureau, 1973 190(2013), 5 vom: 05. Apr., Seite 669-682 (DE-627)325570523 (DE-600)2037345-4 1573-8795 nnns volume:190 year:2013 number:5 day:05 month:04 pages:669-682 https://dx.doi.org/10.1007/s10958-013-1279-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 190 2013 5 05 04 669-682 |
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10.1007/s10958-013-1279-8 doi (DE-627)SPR015045064 (SPR)s10958-013-1279-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Ilika, S. A. verfasserin aut Approximation of nonlinear differential functional equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. Ordinary Differential Equation (dpeaa)DE-He213 Cauchy Problem (dpeaa)DE-He213 Differential Functional Equation (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Differential Algebraic Equation (dpeaa)DE-He213 Cherevko, I. M. verfasserin aut Enthalten in Journal of mathematical sciences New York, NY : Consultants Bureau, 1973 190(2013), 5 vom: 05. Apr., Seite 669-682 (DE-627)325570523 (DE-600)2037345-4 1573-8795 nnns volume:190 year:2013 number:5 day:05 month:04 pages:669-682 https://dx.doi.org/10.1007/s10958-013-1279-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 190 2013 5 05 04 669-682 |
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10.1007/s10958-013-1279-8 doi (DE-627)SPR015045064 (SPR)s10958-013-1279-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.00 bkl Ilika, S. A. verfasserin aut Approximation of nonlinear differential functional equations 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. Ordinary Differential Equation (dpeaa)DE-He213 Cauchy Problem (dpeaa)DE-He213 Differential Functional Equation (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Differential Algebraic Equation (dpeaa)DE-He213 Cherevko, I. M. verfasserin aut Enthalten in Journal of mathematical sciences New York, NY : Consultants Bureau, 1973 190(2013), 5 vom: 05. Apr., Seite 669-682 (DE-627)325570523 (DE-600)2037345-4 1573-8795 nnns volume:190 year:2013 number:5 day:05 month:04 pages:669-682 https://dx.doi.org/10.1007/s10958-013-1279-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.00 ASE AR 190 2013 5 05 04 669-682 |
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Enthalten in Journal of mathematical sciences 190(2013), 5 vom: 05. Apr., Seite 669-682 volume:190 year:2013 number:5 day:05 month:04 pages:669-682 |
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Ilika, S. A. @@aut@@ Cherevko, I. M. @@aut@@ |
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Ilika, S. A. |
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Ilika, S. A. ddc 510 bkl 31.00 misc Ordinary Differential Equation misc Cauchy Problem misc Differential Functional Equation misc Delay Differential Equation misc Differential Algebraic Equation Approximation of nonlinear differential functional equations |
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510 ASE 31.00 bkl Approximation of nonlinear differential functional equations Ordinary Differential Equation (dpeaa)DE-He213 Cauchy Problem (dpeaa)DE-He213 Differential Functional Equation (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Differential Algebraic Equation (dpeaa)DE-He213 |
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Approximation of nonlinear differential functional equations |
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We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. |
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We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. |
| abstract_unstemmed |
We have investigated the approximation of an element with delay in $ {{\mathbb{R}}^n} $ for the case of a continuous input function. We have constructed and substantiated a scheme of the approximation of solutions of an initial-value problem for a nonlinear differential functional equation by the solutions of the Cauchy problem for a system of ordinary differential equations. Calculations for the model example based on the proposed scheme of approximation are in good agreement with well-known results in the literature. |
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Approximation of nonlinear differential functional equations |
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