Work

Existence of Positive Solutions for Damping Elastic Systems in Banach Spaces

Year: 2025

Type: article

Abstract: The goal of this paper is to deal with the damped elastic systems with delay and nonlocal conditions in the framework of ordered Banach spaces. By combining a fixed point theorem for convex-power condensing operators with measures of noncompactness, we establish the existence of positive mild solutions for the aforementioned system. Our analysis assumes that the nonlinear function satisfies both measure conditions and order conditions. To demonstrate the practical applicability of our theoretical findings, we present a concrete example involving the vibration equation of a simply supported beam.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250221

Authors: Haide Gou, Baolin Li

Institutions: Northwest Normal University, Lanzhou Technology and Business College

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Northwest Normal University, National Natural Science Foundation of China

Awards: 弹性梁振动方程的稳定性及相关问题研究, G500520012, G5651774165, G8227180566