Homoclinic solutions for prescribed mean curvature p-Laplacian equations with delays

doi:10.3969/j.issn.1000-5641.2016.04.006

Abstract

Abstract:

In this paper, by applying Mawhin’s continuation theorem, some sufficient conditions on the existence of 2kT-periodic solutions for a kind of prescribed mean curvature Rayleigh p-Laplacian equation with delays are given. Then the existence of nontrivial homoclinic solutions for prescribed mean curvature Rayleigh p-Laplacian equation with delays is obtained. At last, an example is also given to illustrate the application of our main results.

Key words: prescribed mean curvature equation, homoclinic solutions, continuation theorem, p-Laplacian equation, delay

KONG Fan-chao, LI-Xun, LU Shi-ping. Homoclinic solutions for prescribed mean curvature p-Laplacian equations with delays[J]. Journal of East China Normal University(Natural Sc, doi: 10.3969/j.issn.1000-5641.2016.04.006.

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