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A boundary value problem on the half-line for superlinear differential equations with changing sign weight
Marini, Mauro
Matucci, Serena
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.
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
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Languages
en
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Marini_Matucci_RIMUT44.pdf
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