Boundary value problems for systems of second-order functional differential equations.
In the present paper, we investigate the existence of solutions to boundary value problems for the one-dimensional Schrödinger equation , where and are Henstock-Kurzweil integrable functions on . Results presented in this article are generalizations of the classical results for the Lebesgue integral.
We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving bounded -Laplacian, subject to integral boundary conditions formulated in terms of Riemann-Stieltjes integrals.
If is a subset of the space , we call a pair of continuous functions , -compatible, if they map the space into itself and satisfy , for all with . (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential -dimensional system is investigated, provided the boundary conditions are given via...
A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.