Existence Theorems for a Fourth Order Boundary Value Problem

• Autorzy: A. El-Haffaf
• 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:
$x^{(4)}(t) + f(t,x(t),x''(t)) = 0$, 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 f is a function from the space C([0,1]×ℝ²,ℝ). The main tool used in the proof is the Leray-Schauder nonlinear alternative.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 2
• Strony: 135-148

Daty

wydano

2009

Twórcy

autor

A. El-Haffaf

• Département de Mathématiques, Faculté des Sciences, Université d'Oran, B.P. 1524 Es-Senia, Oran, Algeria

Identyfikatory

DOI

10.4064/ba57-2-7