Higher-order p-Laplacian boundary value problems with resonance of dimension two on the half-line

Abstract

Abstract We apply the extension of coincidence degree to obtain sufficient conditions for the existence of at least one solution for a class of higher-order p-Laplacian boundary value problems with two-dimensional kernel on the half-line. The result obtained improves and generalizes some of the known results on p-Laplacian boundary value problems in the literature. We also validate our result with an example.

Keywords

• Coincidence degree
• Half-line
• Higher order
• p-Laplacian
• Resonance
• Two dimension