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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
  • Controlled Vocabulary...

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.
Archivio
http://hdl.handle.net/10077/8277
Diritti
open access
Soggetti
  • differential equation...

  • positive solutions

  • decaying solutions

Visualizzazioni
2
Data di acquisizione
Jun 8, 2022
Vedi dettagli
google-scholar
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