Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem

In a series of papers (Burton-Furumochi [1-4]) we have studied stability properties of functional differential equations by means of fixed point theory. Here we obtain new stability and boundedness results for half-linear equations and integro-differential equations by using Schauder's first t...

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Main Author: Tetsuo Furumochi
Format: Article
Language:English
Published: University of Szeged 2004-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=170
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author Tetsuo Furumochi
author_facet Tetsuo Furumochi
author_sort Tetsuo Furumochi
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description In a series of papers (Burton-Furumochi [1-4]) we have studied stability properties of functional differential equations by means of fixed point theory. Here we obtain new stability and boundedness results for half-linear equations and integro-differential equations by using Schauder's first theorem and a weighted norm, and show some examples.
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spelling doaj.art-6ffa624330484f788b15e4bf6126768a2023-05-09T07:52:57ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752004-08-0120031011110.14232/ejqtde.2003.6.10170Asymptotic behavior of solutions of some functional differential equations by Schauder's theoremTetsuo Furumochi0Shimane University, Matsue, JapanIn a series of papers (Burton-Furumochi [1-4]) we have studied stability properties of functional differential equations by means of fixed point theory. Here we obtain new stability and boundedness results for half-linear equations and integro-differential equations by using Schauder's first theorem and a weighted norm, and show some examples.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=170
spellingShingle Tetsuo Furumochi
Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem
Electronic Journal of Qualitative Theory of Differential Equations
title Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem
title_full Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem
title_fullStr Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem
title_full_unstemmed Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem
title_short Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem
title_sort asymptotic behavior of solutions of some functional differential equations by schauder s theorem
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=170
work_keys_str_mv AT tetsuofurumochi asymptoticbehaviorofsolutionsofsomefunctionaldifferentialequationsbyschauderstheorem