We study the periodic and the Neumann boundary value problems associated with the second order nonlinear differential equation u'' + c u' + λ a(t) g(u) = 0, where g:[0,+∞[→[0,+∞[ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when ∫a(t)dt<0 and λ > 0 is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations.
Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case
Alberto Boscaggin;FELTRIN, GUGLIELMO;Fabio Zanolin
2016-01-01
Abstract
We study the periodic and the Neumann boundary value problems associated with the second order nonlinear differential equation u'' + c u' + λ a(t) g(u) = 0, where g:[0,+∞[→[0,+∞[ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when ∫a(t)dt<0 and λ > 0 is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
pairs-of-positive-periodic-solutions-of-nonlinear-odes-with-indefinite-weight-a-topological-degree-approach-for-the-supersublinear-case (1).pdf
Accesso riservato
Tipo di file:
PDF EDITORIALE
Dimensione
281.57 kB
Formato
Adobe PDF
|
281.57 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.