In this paper, we consider the existence of solutions to three-point boundary value problem for one-dimensional
p-Laplacian at resonance and non-resonance. Some known results are improved under some sign and growth conditions. The proof
is based on the Brouwer degree theory.
Keywords
p-Laplacian - Three-point boundary value problem - Resonance - Non-resonance - Degree theory
Mathematics Subject Classification (2000) 34B25 - 34C25
Supported by National Natural Science Foundation of China (10771212) and Science Foundation of China University of Mining
and Technology (2005A041, 2006A042).