Multiple solutions of two-point nonlinear boundary value problems

Felix Sadyrbaev; Inara Yermachenko

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Multiple solutions of two-point nonlinear boundary value problems

机译：两点非线性边值问题的多重解

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摘要

A quasi-linear boundary value problem has a solution with properties induced by oscillatory properties of the linear part of an equation. This result is proved for two dimensional systems. Consequences for -Laplacian equations and problems with resonant linear parts are discussed.

机译：拟线性边值问题的解的性质是由方程线性部分的振动性质引起的。对于二维系统证明了该结果。讨论了-Laplacian方程的结果以及谐振线性零件的问题。

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《Nonlinear Analysis: An International Multidisciplinary Journal》 |2009年第12期|共10页
作者
Felix Sadyrbaev; Inara Yermachenko;
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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Quasi-linearization; Nonlinear boundary value problem; Multiple solutions; Laplacian; Resonant problems;

机译：拟线性化非线性边值问题多重解拉普拉斯共振问题;

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1. On The Existence of Multiple Solutions of a Class of Third-Order Nonlinear Two-Point Boundary Value Problems [J] . Shivanian Elyas, Abdolrazaghi Fatemeh Mediterranean journal of mathematics . 2016,第5期

机译：一类三阶非线性两点边值问题的多重解的存在性
2. Multiple solutions of two-point nonlinear boundary value problems [J] . Felix Sadyrbaev, Inara Yermachenko Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第12期

机译：两点非线性边值问题的多重解
3. The Lie-Group Shooting Method for Nonlinear Two-Point Boundary Value Problems Exhibiting Multiple Solutions [J] . Chein-Shan Liu Computer Modeling in Engineering & Sciences . 2006,第2期

机译：具多重解的非线性两点边值问题的李群射击方法
4. Fourth-Order Solutions of Nonlinear Two-Point Boundary Value Problems By Newton-HSSOR Iteration [C] . Jumat Sulaiman, Mohd. Khatim Hasan, Mohamed Othman, International Conference on Mathematical Sciences . 2014

机译：Newton-HSSOR迭代的非线性两点边值问题的四阶解决方案
5. Existence of positive solutions to a family of fractional two-point boundary value problems. [D] . Hollon, Christina A. 2015

机译：一类分数两点边值问题的正解的存在性。
6. Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems [O] . Daliang Zhao, Yansheng Liu 2013

机译：非线性分数阶边值问题的多个正解
7. Multiple positive solutions for nonlinear third order general two-point boundary value problems [O] . K. R. Prasad, A. Kameswara Rao 2013

机译：非线性三阶一般两点边值问题的多个正解
8. Nonlinear Two-Point Boundary Value Problems with Multiple Solutions [R] . Parter, S. V., Pereyra, V. 1970

机译：多解的非线性两点边值问题

Multiple solutions of two-point nonlinear boundary value problems

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