Asymptotic analysis of singularly perturbed integro-differential equations with zero operator in the differential part
Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bobodzhanova, M. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2011 |
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| Übergeordnetes Werk: |
Enthalten in: Differential equations - SP MAIK Nauka/Interperiodica, 1965, 47(2011), 4 vom: Apr., Seite 516-533 |
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| Übergeordnetes Werk: |
volume:47 ; year:2011 ; number:4 ; month:04 ; pages:516-533 |
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| DOI / URN: |
10.1134/S0012266111040070 |
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| 520 | |a Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region). | ||
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10.1134/S0012266111040070 doi (DE-627)OLC2027338721 (DE-He213)S0012266111040070-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Bobodzhanova, M. A. verfasserin aut Asymptotic analysis of singularly perturbed integro-differential equations with zero operator in the differential part 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2011 Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region). Asymptotic Solution Asymptotic Analysis Limit Relation Singularly Perturb Moscow Power Engineer Institute Safonov, V. F. aut Enthalten in Differential equations SP MAIK Nauka/Interperiodica, 1965 47(2011), 4 vom: Apr., Seite 516-533 (DE-627)129604852 (DE-600)241983-X (DE-576)015098982 0012-2661 nnns volume:47 year:2011 number:4 month:04 pages:516-533 https://doi.org/10.1134/S0012266111040070 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4700 31.00 VZ AR 47 2011 4 04 516-533 |
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10.1134/S0012266111040070 doi (DE-627)OLC2027338721 (DE-He213)S0012266111040070-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Bobodzhanova, M. A. verfasserin aut Asymptotic analysis of singularly perturbed integro-differential equations with zero operator in the differential part 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2011 Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region). Asymptotic Solution Asymptotic Analysis Limit Relation Singularly Perturb Moscow Power Engineer Institute Safonov, V. F. aut Enthalten in Differential equations SP MAIK Nauka/Interperiodica, 1965 47(2011), 4 vom: Apr., Seite 516-533 (DE-627)129604852 (DE-600)241983-X (DE-576)015098982 0012-2661 nnns volume:47 year:2011 number:4 month:04 pages:516-533 https://doi.org/10.1134/S0012266111040070 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4700 31.00 VZ AR 47 2011 4 04 516-533 |
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Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region). © Pleiades Publishing, Ltd. 2011 |
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Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region). © Pleiades Publishing, Ltd. 2011 |
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Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region). © Pleiades Publishing, Ltd. 2011 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2027338721</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503041200.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2011 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S0012266111040070</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2027338721</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)S0012266111040070-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bobodzhanova, M. A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Asymptotic analysis of singularly perturbed integro-differential equations with zero operator in the differential part</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2011</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2011</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider an integro-differential system with identically zero operator in the differential part. We construct a regularized asymptotics of the solution of this system for two cases, one in which the integral operator contains an exponentially varying factor and the other in which it does not. On the basis of the resulting asymptotic expansion, we study the passage to the limit in the system and present conditions under which this passage is uniform on the entire range of the independent variable (including the boundary layer region).</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Asymptotic Solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Asymptotic Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Limit Relation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singularly Perturb</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Moscow Power Engineer Institute</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Safonov, V. 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