Boundary value problems on the half line in the theory of colloids.
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.