Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter-Reference-Cited by-同舟云学术

Local existence and uniqueness of increasing positive solutions for non-singular and singular beam equation with a parameter

Published:2020-01-10 Issue:1 Volume:2020 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Wang Hui,Zhang Lingling

Abstract

AbstractThis paper is concerned with a class of beam equations with a parameter. By using the fixed point theorems of mixed monotone operator and the properties of cone, we study the non-singular and singular case, respectively, and obtain the sufficient conditions which guarantee the local existence and uniqueness of increasing positive solutions. Also, we present an iterative algorithm that converges to the solution. Moreover, we get some pleasant properties of the solutions for the boundary value problem dependent parameter. At last, two examples are given to illustrate the main results.

Funder

the Key Research and Development Plan of Shanxi Province

the opening project of State Key Laboratory of Explosion Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-019-01320-4.pdf

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