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Ming He Pei ...et al KYUNGPOOK UNIVERSITY 2001 Kyungpook mathematical journal Vol.41 No.2
In this paper, we study the existence and uniqueness of solution of two-point and three-point boundary value problems for nth-order ordinary differential equation (1.1) which possess boundary conditions (1.2), (1.3), (1.4), (1.5) and (1.6) respectively, where the results of the existence and uniqueness of solutions for BVP(1.1)(1.4), BVP(1.1)(1.5) and BVP(1.1)(1.6) generalize corresponding results in [6] and [7].
Existence and Uniqueness Theorems of Solutions for a Class Fourth-Order Boundary Value Problems
Pei, Ming He ...et al KYUNGPOOK UNIVERSITY 2001 Kyungpook mathematical journal Vol.41 No.2
In this paper, by using the Leray-Schauder degree theory, we establish the existence and uniqueness theorems of two-point boundary value problems for a class of fourth-order nonlinear differential equations. The results generalize and improve the related results in [7].