Solutions of a Class of Discrete Fourth Order Boundary Value Problems

Lingju Kong

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Solutions of a Class of Discrete Fourth Order Boundary Value Problems

机译：解的一类离散四阶边值问题

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摘要

We study the discrete fourth order boundary value problem where N ≥ 1 is an integer, a, β ≥ 0, and f: [1, N]z × R → R is continuous in the second argument. We obtain several criteria for the existence of one and multiple solutions of the problem. Our analysis is mainly based on the variational method and critical point theory. Examples are presented to illustrate our results.

机译：研究了离散四阶边值问题(N≥1是一个整数,,β≥0f (1, N): z×R→是连续的论点。一个和多个解决方案的存在问题。变分法和临界点理论。提出了例子来说明我们的结果。

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来源
《Minimax theory and its applications》 |2018年第1期|35-46|共12页
作者
Lingju Kong;
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作者单位

Department of Mathematics, University of Tennessee, Chattanooga, TN 37403, U.S.A.;

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原文格式 PDF
正文语种英语
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关键词
discrete element; Calculus of variation; Boundary value problems;

机译：分立元件;微积分的变异;边界值问题;

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Solutions of a Class of Discrete Fourth Order Boundary Value Problems

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