Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities

• Autorzy: P. Ch. Tsamatos
• Języki publikacji: EN

Abstrakty

EN

We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.

Kategorie tematyczne

• 34B18: Positive solutions of nonlinear boundary value problems
• 34B10: Nonlocal and multipoint boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 3
• Strony: 231-242

Daty

wydano

2004

Twórcy

autor

P. Ch. Tsamatos

• Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Identyfikatory

DOI

10.4064/ap83-3-5