Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional q -derivatives

Boundary value problems

Haibo Chen¹  Qiming Zhang²  Yulin Zhao² 

[1] Department of Mathematics, Central South University, Changsha, China;School of Science, Hunan University of Technology, Zhuzhou, China

关键词: fractional q-difference equation;    nonhomogeneous boundary value problem;    positive solution;    multiplicity;   

DOI  :  10.1186/1687-2770-2013-103

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a class of fractional q-difference equations with nonhomogeneous boundary conditions. By applying the classical tools from functional analysis, sufficient conditions for the existence of single and multiple positive solutions to the boundary value problem are obtained in term of the explicit intervals for the nonhomogeneous term. In addition, some examples to illustrate our results are given. MSC:34A08, 34B18, 39A13.

【 授权许可】

CC BY