Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems

Ruyun Ma

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-6

Abstract:

Let G and f : [ 0 , 1 ] × ℠4 → ℠be two functions satisfying Caratheodory conditions. This paper is concerned with the problems of existence and uniqueness of solutions for the nonlinear fourth-order ordinary differential equation y ′ ′ ′ ′ + λ y ′ ′ + k y + G ( x , y , y ′ , y ′ ′ , y ′ ′ ′ ) = f ( x , y , y ′ , y ′ ′ , y ′ ′ ′ ) with one of a particular set of boundary conditions.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:739631

DOI: 10.1155/S0161171200003057

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