Boundary value problems for strongly nonlinear equations under a Wintner-Nagumo growth condition

Abstract We study the following strongly nonlinear differential equation: ( a ( t , x ( t ) ) Φ ( x ′ ( t ) ) ) ′ = f ( t , x ( t ) , x ′ ( t ) ) , a.e. in  [ 0 , T ] $$\bigl(a \bigl(t,x(t) \bigr)\Phi\bigl(x'(t) \bigr) \bigr)'= f \bigl(t,x(t),x'(t) \bigr), \quad\text{a.e. in } [0,T] $...

Full description

Bibliographic Details
Main Authors: Cristina Marcelli, Francesca Papalini
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-017-0913-7