Abstract. We investigate the existence of bounded solutions on the whole real line of the following strongly non-linear non-autonomous differential equation (E) (a(x(t))x'(t))' = f(t, x(t), x'(t)) a.e. t \in R where a(x) is a generic continuous positive function, f is a Caratheodory right-hand side. We get existence results by combining the upper and lower-solutions method to fixed-point techniques. We also provide operative comparison criteria ensuring the well-ordering of pairs of upper and lower-solutions.

Comparison results and existence of bounded solutions to strongly nonlinear second order differential equations

MARCELLI, Cristina;PAPALINI, Francesca
2009-01-01

Abstract

Abstract. We investigate the existence of bounded solutions on the whole real line of the following strongly non-linear non-autonomous differential equation (E) (a(x(t))x'(t))' = f(t, x(t), x'(t)) a.e. t \in R where a(x) is a generic continuous positive function, f is a Caratheodory right-hand side. We get existence results by combining the upper and lower-solutions method to fixed-point techniques. We also provide operative comparison criteria ensuring the well-ordering of pairs of upper and lower-solutions.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11566/52818
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact