Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems. (22nd November 2011)

• Record Type: Journal Article
• Authors: Zhi, Guizhen; Guo, Yunrui; Wang, Yan; Zhang, Qihu
• Other Names: Carvalho Alexandre Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2011(2011)
• Publication Date: 2011-11-22
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2011/814103
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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 termf 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.