Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays

Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays

In this paper, we study one-dimensional Newtonian filtration equation including unbounded sources with multiple delays. The existence of nonnegative non-trivial time periodic solutions will be established by the Leray-Schauder fixed point theorem based on some suitable Lyapunov functionals and some...

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Main Authors: Ying Yang, Jingxue Yin, Chunhua Jin
Format: Article
Language:English
Published: University of Szeged 2010-09-01
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=512
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spelling doaj-3bfeda5f9f2d4f54a492f948f1b1e9032021-07-14T07:21:22ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752010-09-0120105212010.14232/ejqtde.2010.1.52512Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delaysYing Yang0Jingxue Yin1Chunhua Jin2Shenzhen University, Shenzhen, P. R. ChinaSouth China Normal University, Guangzhou, P. R. ChinaSouth China Normal University, Guangzhou, P. R. ChinaIn this paper, we study one-dimensional Newtonian filtration equation including unbounded sources with multiple delays. The existence of nonnegative non-trivial time periodic solutions will be established by the Leray-Schauder fixed point theorem based on some suitable Lyapunov functionals and some a priori estimates for all possible periodic solutions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=512
collection DOAJ
language English
format Article
sources DOAJ
author Ying Yang
Jingxue Yin
Chunhua Jin
spellingShingle Ying Yang
Jingxue Yin
Chunhua Jin
Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Ying Yang
Jingxue Yin
Chunhua Jin
author_sort Ying Yang
title Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
title_short Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
title_full Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
title_fullStr Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
title_full_unstemmed Existence of time periodic solutions for one-dimensional Newtonian filtration equation with multiple delays
title_sort existence of time periodic solutions for one-dimensional newtonian filtration equation with multiple delays
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2010-09-01
description In this paper, we study one-dimensional Newtonian filtration equation including unbounded sources with multiple delays. The existence of nonnegative non-trivial time periodic solutions will be established by the Leray-Schauder fixed point theorem based on some suitable Lyapunov functionals and some a priori estimates for all possible periodic solutions.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=512
work_keys_str_mv AT yingyang existenceoftimeperiodicsolutionsforonedimensionalnewtonianfiltrationequationwithmultipledelays
AT jingxueyin existenceoftimeperiodicsolutionsforonedimensionalnewtonianfiltrationequationwithmultipledelays
AT chunhuajin existenceoftimeperiodicsolutionsforonedimensionalnewtonianfiltrationequationwithmultipledelays
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