Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/8277
Title: A boundary value problem on the half-line for superlinear differential equations with changing sign weight
Authors: Marini, Mauro
Matucci, Serena
Keywords: differential equation with p-Laplacianpositive solutionsdecaying solutions
Issue Date: 2012
Publisher: EUT Edizioni Università di Trieste
Source: Mauro Marini and Serena Matucci, "A boundary value problem on the half-line for superlinear differential equations with changing sign weight", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 117–132.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Abstract: The existence of positive solutions x for a superlinear differential equation with p-Laplacian is here studied, satisfying the boundary conditions x(0) = x(∞) = 0. Under the assumption that the weight changes its sign from nonpositive to nonnegative, necessary and sufficient conditions for the existence are derived by combining Kneser-type properties for solutions of an associated boundary value problem on a compact set, a-priori bounds for solutions of suitable boundary value problems on noncompact intervals, and continuity arguments.
URI: http://hdl.handle.net/10077/8277
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)

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