Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities

oleh: Guoju Ye, Xiuli Li

Format: Article
Diterbitkan: SpringerOpen 2010-01-01

Deskripsi

By the notation and monotone convergence theorem of Henstock-Kurzweil integral, we investigate the existence of continuous solutions for the second order boundary value problems with integral boundary conditions in which the nonlinearities f(t,x(t)) are allowed to have the singularities in t and are not Lebesgue integrable.