Advances in Dynamical Systems and Applications
  • Year: 2009
  • Volume: 4
  • Issue: 1

Solvability Criteria for Second Order Generalized Sturm–Liouville Problems at Resonance

  • Author:
  • Youwei Zhang
  • Total Page Count: 18
  • Page Number: 133 to 150

Hexi University, Department of Mathematics, Gansu, 734000, PR China.

AMS Subject Classifications: 34B15.

Abstract

This paper presents some solvability criteria for the second order nonlinear equation

with one of the following boundary conditions

Under the appropriate nonlinear restriction of nonlinearity, solvability criteria for generalized Sturm–Liouville boundary value problems at resonance are established by means of coincidence degree theory of Mawhin type.

Keywords

Sturm–Liouville problem, Fredholm mapping, coincidence degree