A. Cabada and J. Tomeček
abstract:
We derive sufficient conditions for the existence of extremal solutions for a
second order nonlinear functional $\phi$-Laplacian boundary value problems with
impulses, subject to boundary value conditions of general type which cover
Dirichlet and multipoint boundary data as particular cases. Our approach is that
of upper and lower solutions together with growth restrictions of Nagumo's type.
Discontinuous functional dependence of the nonlinear data and the boundary
conditions are allowed.
Mathematics Subject Classification: 34B37 (Primary), 34B15, 34B27 (Secondary)
Key words and phrases: Boundary value problem; impulses; lower and upper solutions; functional dependence; $\phi$-Laplacian; extremal solutions