EXISTENCE OF SOLUTIONS TO NONLINEAR LEGENDRE BOUNDARY VALUE PROBLEMS

被引：1
|
作者：
Freedman, Benjamin [1 ]
Rodriguez, Jesus [1 ]
机构：
[1] NCSU, Dept Math, Box 8205, Raleigh, NC 27695 USA
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2019年 / 11卷 / 04期
关键词：
Boundary value problems; ordinary differential equation; nonlinear equations; fixed-point theorems; DISCRETE;
D O I：
10.7153/dea-2019-11-24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider nonlinearly perturbed Legendre differential equations subject to the usual boundary conditions. For such problems we establish sufficient conditions for the existence of solutions and in some cases we provide a qualitative description of solutions depending on a parameter. The results presented depend on the size and limiting behavior of the nonlinearities.
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页码：495 / 508
页数：14
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