“具有偏差变元的一般非线性两点边值问题的单调迭代方法”

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI:10.37193/cjm.2022.02.11

B. Dhage, Janhavi B. Dhage, J. Ali

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引用次数: 0

摘要

“本文研究了一类具有Dirichlet/Neumann型边界条件一般形式的二阶常微分方程的非线性两点边值问题的存在性和逼近结果。假设微分方程右侧存在的非线性是含有偏差自变量的Caratho´eodory其基于有序Banach空间中Dhage（2014）的混合不动点原理中包含的单调迭代方法。最后，在结论中对我们的单调迭代方法与非线性微分方程理论中常用的迭代方法相比的优点进行了评述。“

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"Monotone iteration method for general nonlinear two point boundary value problems with deviating arguments"

"In this paper we shall study the existence and approximation results for a nonlinear two point boundary value problem of a second order ordinary differential equation with general form of Dirichlet/Neumann type boundary conditions. The nonlinearity present on right hand side of the differential equation is assumed to be Caratho´eodory containing a deviating argument. The proofs of the main results are based on a monotone iteration method contained in the hybrid fixed point principles of Dhage (2014) in an ordered Banach space. Finally, some remarks concerning the merits of our monotone iteration method over other frequently used iteration methods in the theory of nonlinear differential equations are given in the conclusion."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.