Lower Norm Estimates for Approximate Solutions of Differential Equations with Non-Smooth Coefficients.
Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues
Mesh Selection for Discrete Solution of Boundary Problems in Ordinary Differential Equations.
Metoda přesunu okrajových podmínek
-th order ordinary differential systems under Stieltjes boundary conditions
Nichtäquidistante Diskretisierungen von Randwertaufgaben.
Numerical solution of boundary value problems for selfadjoint differential equations of th order
The paper is devoted to solving boundary value problems for self-adjoint linear differential equations of th order in the case that the corresponding differential operator is self-adjoint and positive semidefinite. The method proposed consists in transforming the original problem to solving several initial value problems for certain systems of first order ODEs. Even if this approach may be used for quite general linear boundary value problems, the new algorithms described here exploit the special...
On a certain boundary value problem for a fourth-order iterated differential equation
On a certain boundary value problem of the third order
On a finite difference analogue of forth order for boundary value problem.
On a Generalized Linear Boundary Value Problem
On a singulary perturbed, coupled elliptic-elliptic problem.
On a two point linear boundary value problem for system of ODEs with deviating arguments
Two point boundary value problem for the linear system of ordinary differential equations with deviating arguments is considered. For this problem the sufficient condition for existence and uniqueness of solution is obtained. The same approach as in [2], [3] is applied.
On certain singular third order eigenvalue problem
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].
On certain third order eigenvalue problem
On collocation methods for singular perturbation problems of convection-diffusion type.
On exact solutions of a class of interval boundary value problems
In this article, we deal with the Boundary Value Problem (BVP) for linear ordinary differential equations, the coefficients and the boundary values of which are constant intervals. To solve this kind of interval BVP, we implement an approach that differs from commonly used ones. With this approach, the interval BVP is interpreted as a family of classical (real) BVPs. The set (bunch) of solutions of all these real BVPs we define to be the solution of the interval BVP. Therefore, the novelty of the...
On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints
We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due to O. N. Ricceri...
On fundamental systems for differential equations of Kamke type.
On minimizing the sum of squares of norms of differential operators under constraints