On multiplicity of solutions to nonlinear partial difference equations with delay

Advances in Difference Equations

Yanyun Zhao¹  Yong Zhou¹  Bashir Ahmad²  Ahmed Alsaedi² 

[1] Faculty of Mathematics and Computational Science, Xiangtan University;Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University;

关键词: Partial difference equations;    Multiple positive solutions;    Fixed point index;   

DOI  :  10.1186/s13662-018-1651-6

来源: DOAJ

【 摘 要 】

Abstract In this paper, we present an existence criterion for multiple positive solutions of nonlinear neutral delay partial difference equations. Such equations can be regarded as a discrete analog of neutral delay partial differential equations. Our main result relies on fixed point index theory. An example is constructed to show the applicability of the obtained result.

【 授权许可】

Unknown