Existence theorems for a fourth order boundary value problem

• Autorzy: El-Haffaf A.
• Języki publikacji: EN

Abstrakty

EN

This paper treats the question of the existence of solutions of a fourth order boundary value problem having the following form: x(4)(t) + ƒ(t,x(t),x''(t)) = 0, 0 < t < 1, x(0) = x'(0) = 0, x''(1) = 0, x(3)(1) = 0. Boundary value problems of very similar type are also considered. It is assumed that ƒ is a function from the space C([0, 1] x R2,R). The main tool used in the proof is the Leray-Schauder nonlinear alternative.

Słowa kluczowe

EN

Green's functions; fixed point theorem; Leray-Schauder nonlinear alternative; lower and upper solutions

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 2
• Strony: 135--148
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

El-Haffaf A.

• Departement de Mathematiques, Faculte des Sciences, Universite d'Oran B.P. 1524 Es-Senia, Oran, Algeria,

Bibliografia

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