Existence theorems for the one-dimensional singulari p-Laplacian equation with sign changing nonlinearities

Authors:
Ravi P. Agarwal;Haishen Lü;Donal O'Regan
Affiliations:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL;Department of Mathematics, Lanzhou University, Lanzhou 730000, PR China;Department of Mathematics, National University of Ireland, Galway, Ireland
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

In this paper, general existence theorems are presented for the singular equation (φp(y'))' + f(t,y) = 0, y(0) = y(1) = 0. Throughout, our nonlinearity is allowed to change sign.