Triple positive solution to the one-dimensional -Laplacian equation
Xuemei Zhang
North China Electric Power University, Beijing, ChinaMeiqiang Feng
Beijing Institute of Technology, ChinaWeigao Ge
Beijing Institute of Technology, China
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Abstract
We obtain sufficient conditions for the existence of at least three positive solutions to the second-order nonlinear delay differential equation with one-dimensional -Laplacian
where is the -Laplacian operator, i.e., , , , . The arguments are based upon a new fixed point theorem in a cone introduced by Avery and Peterson.
Cite this article
Xuemei Zhang, Meiqiang Feng, Weigao Ge, Triple positive solution to the one-dimensional -Laplacian equation. Port. Math. 65 (2008), no. 1, pp. 143–155
DOI 10.4171/PM/1803