Existence of positive solutions for a nonlinear fourth order boundary value problem

• Autorzy: Ruyun Ma
• Języki publikacji: EN

Abstrakty

EN

We study the existence of positive solutions of the nonlinear fourth order problem
$u^{(4)}(x) = λa(x)f(u(x))$,
u(0) = u'(0) = u''(1) = u'''(1) = 0,
where a: [0,1] → ℝ may change sign, f(0) < 0, and λ < 0 is sufficiently small. Our approach is based on the Leray-Schauder fixed point theorem.

Kategorie tematyczne

• 34B18: Positive solutions of nonlinear boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 1
• Strony: 79-84

Daty

wydano

2003

Twórcy

autor

Ruyun Ma

• Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, P. R. China

Identyfikatory

DOI

10.4064/ap81-1-7