Solvability for p-Laplacian boundary value problem at resonance on the half-line
College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, P.R. China
Boundary Value Problems 2013, 2013:207 doi:10.1186/1687-2770-2013-207Published: 11 September 2013
The existence of solutions for p-Laplacian boundary value problem at resonance on the half-line is investigated. Our analysis relies on constructing the suitable Banach space, defining appropriate operators and using the extension of Mawhin’s continuation theorem. An example is given to illustrate our main result.
MSC: 70K30, 34B10, 34B15.