Generalized monotone iterative method for nonlinear boundary value problems with causal operators

Boundary value problems

Jing-Feng Tian¹  Wen-Li Wang² 

[1] College of Science and Technology, North China Electric Power University, Baoding, P.R. China;Department of Information Engineering, China University of Geosciences Great Wall College, Baoding, P.R. China

关键词: generalized monotone iterative method;    nonlinear boundary value problem;    upper and lower solutions;    causal operator;   

DOI  :  10.1186/s13661-014-0192-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper discusses nonlinear boundary value problems for causal differential equations where the right-hand side is the sum of two monotone functions. We develop the monotone iterative technique and establish the existence results of the extremal solutions. The results obtained include several special cases and extend previous results; two examples satisfying the assumptions are also presented. MSC: 34B15, 39B12.

【 授权许可】

CC BY