Boundary value problem for differential and difference second order systems
Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions
In this paper we obtain existence conditions and an explicit closed form expression of the general solution of twopoint boundary value problems for coupled systems of second order differential equations with a singularity of the first kind. The approach is algebraic and is based on a matrix representation of the system as a second order Euler matrix differential equation that avoids the increase of the problem dimension derived from the standard reduction of the order method.
Boundary value problems for generalized linear differential equations
Boundary value problems for linear generalized differential equations and their adjoints
Boundary value problems for ODEs
We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Boundary value problems for ordinary linear differential equations in the Colombeau algebra
Boundary value problems with regular singularities and singular boundary conditions.
Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter.