Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems
This paper investigates the existence of solutions for a class of variable exponent integrodifferential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p−−1) growth condition or general growth condition, we give the existence of...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/814103 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558508033179648 |
|---|---|
| author | Guizhen Zhi Yunrui Guo Yan Wang Qihu Zhang |
| author_facet | Guizhen Zhi Yunrui Guo Yan Wang Qihu Zhang |
| author_sort | Guizhen Zhi |
| collection | DOAJ |
| description | This paper investigates the existence of solutions for a class of variable exponent integrodifferential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p−−1) growth condition or general growth condition, we give the existence of solutions and nonnegative solutions via Leray-Schauder degree at nonresonance, respectively. Moreover, the existence of solutions for the problem at resonance has been discussed. |
| format | Article |
| id | doaj-art-2ab7c72ac2f3483e9f5dbf1cfbd4d0f7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2ab7c72ac2f3483e9f5dbf1cfbd4d0f72025-02-03T01:32:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/814103814103Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value ProblemsGuizhen Zhi0Yunrui Guo1Yan Wang2Qihu Zhang3Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaDepartment of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan 453003, ChinaDepartment of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaDepartment of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaThis paper investigates the existence of solutions for a class of variable exponent integrodifferential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p−−1) growth condition or general growth condition, we give the existence of solutions and nonnegative solutions via Leray-Schauder degree at nonresonance, respectively. Moreover, the existence of solutions for the problem at resonance has been discussed.http://dx.doi.org/10.1155/2011/814103 |
| spellingShingle | Guizhen Zhi Yunrui Guo Yan Wang Qihu Zhang Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems Journal of Applied Mathematics |
| title | Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems |
| title_full | Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems |
| title_fullStr | Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems |
| title_full_unstemmed | Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems |
| title_short | Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems |
| title_sort | existence of solutions for a class of variable exponent integrodifferential system boundary value problems |
| url | http://dx.doi.org/10.1155/2011/814103 |
| work_keys_str_mv | AT guizhenzhi existenceofsolutionsforaclassofvariableexponentintegrodifferentialsystemboundaryvalueproblems AT yunruiguo existenceofsolutionsforaclassofvariableexponentintegrodifferentialsystemboundaryvalueproblems AT yanwang existenceofsolutionsforaclassofvariableexponentintegrodifferentialsystemboundaryvalueproblems AT qihuzhang existenceofsolutionsforaclassofvariableexponentintegrodifferentialsystemboundaryvalueproblems |