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

被引：0
|
作者：
Wen-Li Wang
Jing-Feng Tian
机构：
[1] China University of Geosciences Great Wall College,Department of Information Engineering
[2] North China Electric Power University,College of Science and Technology
来源：
Boundary Value Problems | / 2014卷
关键词：
generalized monotone iterative method; nonlinear boundary value problem; upper and lower solutions; causal operator;
D O I：
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中图分类号：
学科分类号：
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.
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