Positive Solution for a Singular Fourth-Order Differential System

作     者：B. Kovács B. Kovács

作者机构：Institute of Mathematics University of Miskolc Miskolc Hungary 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2021年第9卷第9期

页      面：2244-2257页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Positive Solutions Fixed Point Theorem Singular Solutions Bending of an Elastic Beam Cone Boundary Value Problem Existence Multiplicity 

摘      要：In this paper, we investigate the existence of positive solutions for the singular fourth-order differential system u(4) = φu + f (t, u, u, φ), 0 t φ = μg (t, u, u), 0 t u (0) = u (1) = u(0) = u(1) = 0, φ (0) = φ (1) = 0;where μ 0 is a constant, and the nonlinear terms f, g may be singular with respect to both the time and space variables. The results obtained herein generalize and improve some known results including singular and non-singular cases.