On The Existence Of Solutions To Boundary Value Problem Of Resonance Fourth-Order P-Laplace With One Order Derivative

2018 4TH INTERNATIONAL CONFERENCE ON EDUCATION, MANAGEMENT AND INFORMATION TECHNOLOGY (ICEMIT 2018)（2018）

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摘要

This paper deals with the fourth-order p-Laplace boundary value problem of resonance{ (phi(p) (x"(t)))" = f(t, x(t), x'(t)), 0 < t < 1x(0) = 0, x(1) = ax(xi), x'' (0) = 0, x'' (1) = bx'' (eta) where 0 < xi, eta < 1; a,b > such that a xi = 1 andb(p-1) eta <= 1. The existence of solution is obtained by means of Mawhin's continuation theorem.

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关键词

resonance, p-Laplace, theory of coincidence degree, boundary value problem

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