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

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  • Ruyun Ma

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.

Suggested Citation

  • Ruyun Ma, 2000. "Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:739631
    DOI: 10.1155/S0161171200003057
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    Cited by:

    1. Ravi P. Agarwal & Petio S. Kelevedjiev, 2020. "On the Solvability of Fourth-Order Two-Point Boundary Value Problems," Mathematics, MDPI, vol. 8(4), pages 1-19, April.

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