Sign-changing solutions for asymptotically linear operator equations and applications

Boundary value problems

Zongyuan Zhu¹  Qian Meng²  Yanbin Sang² 

[1] School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, P.R. China;School of Science, North University of China, Taiyuan, P.R. China

关键词: sign-changing solutions;    asymptotically linear operators;    topological degree;    fixed point index;    47H07;    47H10;    34B10;    34B15;    34B18;   

DOI  :  10.1186/s13661-015-0444-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by using the topological degree and fixed point index theory, the existence of three kinds of solutions (i.e., sign-changing solutions, positive solutions, and negative solutions) for asymptotically linear operator equations is discussed. The abstract results obtained here are applied to nonlinear integral and differential equations.

【 授权许可】

CC BY