Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.
Hairong Lian. Patricia J. Y. Wong. Shu Yang. "Solvability of Three-Point Boundary Value Problems at Resonance with a -Laplacian on Finite and Infinite Intervals." Abstr. Appl. Anal. 2012 (SI07) 1 - 16, 2012. https://doi.org/10.1155/2012/658010