Fixed Points and Stability in Nonlinear Equations with Variable Delays

Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous...
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Gespeichert in:

Autor*in:	Ding, Liming [verfasserIn] Li, Xiang [verfasserIn] Li, Zhixiang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2010

Schlagwörter:	Continuous Function Contraction Mapping Lipschitz Condition Delay Differential Equation Convergent Subsequence

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2010(2010), 1 vom: 24. Okt.
Übergeordnetes Werk:	volume:2010 ; year:2010 ; number:1 ; day:24 ; month:10

Links:	Volltext

DOI / URN:	10.1155/2010/195916

Katalog-ID:	SPR032121709

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allfields	10.1155/2010/195916 doi (DE-627)SPR032121709 (SPR)195916-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Ding, Liming verfasserin aut Fixed Points and Stability in Nonlinear Equations with Variable Delays 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory. Continuous Function (dpeaa)DE-He213 Contraction Mapping (dpeaa)DE-He213 Lipschitz Condition (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Convergent Subsequence (dpeaa)DE-He213 Li, Xiang verfasserin aut Li, Zhixiang verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 24. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:24 month:10 https://dx.doi.org/10.1155/2010/195916 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 24 10
spelling	10.1155/2010/195916 doi (DE-627)SPR032121709 (SPR)195916-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Ding, Liming verfasserin aut Fixed Points and Stability in Nonlinear Equations with Variable Delays 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory. Continuous Function (dpeaa)DE-He213 Contraction Mapping (dpeaa)DE-He213 Lipschitz Condition (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Convergent Subsequence (dpeaa)DE-He213 Li, Xiang verfasserin aut Li, Zhixiang verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 24. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:24 month:10 https://dx.doi.org/10.1155/2010/195916 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 24 10
allfields_unstemmed	10.1155/2010/195916 doi (DE-627)SPR032121709 (SPR)195916-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Ding, Liming verfasserin aut Fixed Points and Stability in Nonlinear Equations with Variable Delays 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory. Continuous Function (dpeaa)DE-He213 Contraction Mapping (dpeaa)DE-He213 Lipschitz Condition (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Convergent Subsequence (dpeaa)DE-He213 Li, Xiang verfasserin aut Li, Zhixiang verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 24. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:24 month:10 https://dx.doi.org/10.1155/2010/195916 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 24 10
allfieldsGer	10.1155/2010/195916 doi (DE-627)SPR032121709 (SPR)195916-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Ding, Liming verfasserin aut Fixed Points and Stability in Nonlinear Equations with Variable Delays 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory. Continuous Function (dpeaa)DE-He213 Contraction Mapping (dpeaa)DE-He213 Lipschitz Condition (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Convergent Subsequence (dpeaa)DE-He213 Li, Xiang verfasserin aut Li, Zhixiang verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 24. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:24 month:10 https://dx.doi.org/10.1155/2010/195916 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 24 10
allfieldsSound	10.1155/2010/195916 doi (DE-627)SPR032121709 (SPR)195916-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Ding, Liming verfasserin aut Fixed Points and Stability in Nonlinear Equations with Variable Delays 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory. Continuous Function (dpeaa)DE-He213 Contraction Mapping (dpeaa)DE-He213 Lipschitz Condition (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Convergent Subsequence (dpeaa)DE-He213 Li, Xiang verfasserin aut Li, Zhixiang verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 24. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:24 month:10 https://dx.doi.org/10.1155/2010/195916 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 24 10
language	English
source	Enthalten in Fixed point theory and applications 2010(2010), 1 vom: 24. Okt. volume:2010 year:2010 number:1 day:24 month:10
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format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Continuous Function Contraction Mapping Lipschitz Condition Delay Differential Equation Convergent Subsequence
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author	Ding, Liming
spellingShingle	Ding, Liming ddc 510 bkl 31.46 bkl 31.65 misc Continuous Function misc Contraction Mapping misc Lipschitz Condition misc Delay Differential Equation misc Convergent Subsequence Fixed Points and Stability in Nonlinear Equations with Variable Delays
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topic_title	510 ASE 31.46 bkl 31.65 bkl Fixed Points and Stability in Nonlinear Equations with Variable Delays Continuous Function (dpeaa)DE-He213 Contraction Mapping (dpeaa)DE-He213 Lipschitz Condition (dpeaa)DE-He213 Delay Differential Equation (dpeaa)DE-He213 Convergent Subsequence (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc Continuous Function misc Contraction Mapping misc Lipschitz Condition misc Delay Differential Equation misc Convergent Subsequence
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title	Fixed Points and Stability in Nonlinear Equations with Variable Delays
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title_full	Fixed Points and Stability in Nonlinear Equations with Variable Delays
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title_sort	fixed points and stability in nonlinear equations with variable delays
title_auth	Fixed Points and Stability in Nonlinear Equations with Variable Delays
abstract	Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory.
abstractGer	Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory.
abstract_unstemmed	Abstract We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory.
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title_short	Fixed Points and Stability in Nonlinear Equations with Variable Delays
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up_date	2024-07-04T02:29:12.162Z
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