We provide some existence results for Sturm–Liouville boundary value problems associated with the planar differential system Jz′ = g(t, z) + r(t, z) where g is suitably controlled by the gradient of two positively homogeneous functions of degree 2 and r is sublinear with respect to the variable z at infinity. We study the existence of solutions when a double resonance phenomenon occurs by the introduction of Landesman–Lazer type conditions. Applications to scalar second order differential equations are given.

Double resonance in sturm–liouville planar boundary value problems

Sfecci A.
2020-01-01

Abstract

We provide some existence results for Sturm–Liouville boundary value problems associated with the planar differential system Jz′ = g(t, z) + r(t, z) where g is suitably controlled by the gradient of two positively homogeneous functions of degree 2 and r is sublinear with respect to the variable z at infinity. We study the existence of solutions when a double resonance phenomenon occurs by the introduction of Landesman–Lazer type conditions. Applications to scalar second order differential equations are given.
2020
Pubblicato
https://projecteuclid.org/euclid.tmna/1591908347
File in questo prodotto:
File Dimensione Formato  
Rev2_TMNA.pdf

Open Access dal 02/06/2021

Descrizione: final version at link https://projecteuclid.org/euclid.tmna/1591908347
Tipologia: Bozza finale post-referaggio (post-print)
Licenza: Copyright Editore
Dimensione 372.88 kB
Formato Adobe PDF
372.88 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2977257
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact