Quasilinearization Technique for Φ-Laplacian Type Equations

Abstract EN

An equation d/dt(Φ(t,x′))+f(t,x)=0 is considered together with the boundary conditions Φ(a,x′(a))=0, x(b)=0.

This problem under appropriate conditions can be reduced to quasilinear problem for two-dimensional differential system.

The conditions for existence of multiple solutions to the original problem are obtained by multiply applying the quasilinearization technique.