×

Comparison results and approximation of extremal solutions for second-order functional differential equations. (English) Zbl 1163.34043

The authors are interested in the study of a nonlinear second order functional differential equation with periodic boundary conditions. They first consider a linear second order ordinary differential equation subject to a functional perturbation with periodic conditions. They first present some comparison results for the linear equation, then they approach the existence of a solution for this problem. In a second step they develop a monotone method to approximate the solution of the nonlinear equation.

MSC:

34K10 Boundary value problems for functional-differential equations
34K07 Theoretical approximation of solutions to functional-differential equations
PDFBibTeX XMLCite