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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)
  6. A boundary value problem on the half-line for superlinear differential equations with changing sign weight
 
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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
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ISSN
0049-4704
http://hdl.handle.net/10077/8277
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Subjects
  • differential equation...

  • positive solutions

  • decaying solutions

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.
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