On nonlinear boundary value problems in the discrete setting

被引：4

作者：

Freedman, Benjamin ^{[1
]}

Rodriguez, Jesus ^{[1
]}

机构：

[1] NC State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2019年 / 25卷 / 07期

关键词：

Nonlinear equations; fixed-point theorems; topological degree theory; discrete time systems; STURM-LIOUVILLE PROBLEMS;

D O I：

10.1080/10236198.2019.1641497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Results appearing in this paper can be used to establish the solvability of nonlinear discrete time systems subject to generalized nonlinear boundary conditions. Two separate sets of results are established, each of which can be used to establish existence of solutions to problems for which previous related work proves inconclusive. The first set of results imposes conditions on the sizes of nonlinearities, while the second framework requires geometric properties of the nonlinearity in the dynamics.

引用

页码：994 / 1006

页数：13

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