Existence and Uniqueness of Positive Solutions for Semipositone Lane-Emden Equations on the Half-Axis-Reference-Cited by-同舟云学术

Existence and Uniqueness of Positive Solutions for Semipositone Lane-Emden Equations on the Half-Axis

Published:2023-10-06 Issue:19 Volume:11 Page:4184
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Bachar Imed¹^ORCID

Affiliation:

1. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

Semipositone Lane–Emden type equations are considered on the half-axis. Such equations have been used in modelling several phenomena in astrophysics and mathematical physics and are often difficult to solve analytically. We provide sufficient conditions for the existence of a positive continuous solution and we describe its global behavior. Our approach is based on a perturbed operator technique and fixed point theorems. Some examples are presented to illustrate the main results.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/19/4184/pdf

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