Lower and Upper Solution Method for Semilinear, Quasi-Linear and Quadratic Singularly Perturbed Neumann Boundary Value Problems-Reference-Cited by-同舟云学术

Lower and Upper Solution Method for Semilinear, Quasi-Linear and Quadratic Singularly Perturbed Neumann Boundary Value Problems

Published:2023-02-02 Issue:2 Volume:12 Page:154
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Vrabel Robert¹^ORCID

Affiliation:

1. Institute of Applied Informatics, Automation and Mechatronics, Slovak University of Technology in Bratislava, Bottova 25, 917 01 Trnava, Slovakia

Abstract

In this paper, by using the method of lower and upper solutions and notion of (Iq)-stability, we established sufficient conditions for the uniform convergence of the solutions of singularly perturbed Neumann boundary value problems for second-order differential equations to the solution of their reduced problems.

Funder

Ministry of Education, Science, Research and Sport of the Slovak Republic

ERDF

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/154/pdf

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