Work

On the Existence and Uniqueness of a Positive Solution to a Boundary Value Problem for a Nonlinear Ordinary DifferentialFourth Order Equation

Year: 2023

Type: article

Abstract: The article deals with the boundary value problem. This problem is reduced to an equivalent integral equation, the kernel of which is the Green’s function. Using the well-known Go—Krasnoselsky theorem, we prove the existence of at least one positive solution in some cone of the problem under consideration. Further, using a priori estimates, relying on the principle of compressed mappings, the uniqueness of such a solution is established. In conclusion, an example illustrating the results obtained is given.

Source: Mathematical Physics and Computer Simulation

DOI: 10.15688/mpcm.jvolsu.2023.3.1

Authors: Gusen Abduragimov, Patimat Abduragimova, Madina Kuramagomedova

Institution: Dagestan State University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4391686643

FWCI: 0.429

Cites: 13

Cited by: 2

Related to: 10