Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale

We adopt the Leray-Schauder degree theory and critical point theory to consider a second order Dirichlet boundary value problem on time scales and obtain some existence theorems of weak solutions for the previous problem.

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Bibliographic Details
Main Author: Wandong Lou
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/684038
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author Wandong Lou
author_facet Wandong Lou
author_sort Wandong Lou
collection DOAJ
description We adopt the Leray-Schauder degree theory and critical point theory to consider a second order Dirichlet boundary value problem on time scales and obtain some existence theorems of weak solutions for the previous problem.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-c54c9180ea0d403085d533066dc9f6db2025-02-03T07:24:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/684038684038Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time ScaleWandong Lou0Department of Foundation, Shandong Yingcai University, Jinan, Shandong 250104, ChinaWe adopt the Leray-Schauder degree theory and critical point theory to consider a second order Dirichlet boundary value problem on time scales and obtain some existence theorems of weak solutions for the previous problem.http://dx.doi.org/10.1155/2013/684038
spellingShingle Wandong Lou
Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
Journal of Applied Mathematics
title Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
title_full Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
title_fullStr Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
title_full_unstemmed Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
title_short Weak Solutions for a Second Order Dirichlet Boundary Value Problem on Time Scale
title_sort weak solutions for a second order dirichlet boundary value problem on time scale
url http://dx.doi.org/10.1155/2013/684038
work_keys_str_mv AT wandonglou weaksolutionsforasecondorderdirichletboundaryvalueproblemontimescale