四阶非线性$p$-Laplacian差分方程的边值问题
Boundary value problems for fourth order nonlinear $p$-Laplacian difference equations
本文,作者主要考虑了一类同时包含向前及向后延迟的四阶非线性$p$-Laplacian差分方程的边值问题。利用山路引理及一些不等式,得到了方程边值问题解的存在性的一些充分条件,并在文章的结尾部分给出了例子。
In this paper, the author considers the boundary value problem for a fourth order nonlinear $p$-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.
张勤勤
数学
常微分方程边值问题四阶$p$-Laplacian差分方程山路引理.
Ordinary differential equationBoundary value problemFourth order $p$-Laplacian difference equationMountain pass lemma.
张勤勤.四阶非线性$p$-Laplacian差分方程的边值问题[EB/OL].(2013-12-25)[2025-07-25].http://www.paper.edu.cn/releasepaper/content/201312-873.点此复制
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