Displaying similar documents to “On a finite difference analogue of forth order for boundary value problem.”

Transfer of boundary conditions for difference equations

Emil Vitásek (2000)

Applications of Mathematics

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It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems. ...

Multipoint boundary value problems for discrete equations

Pavel Drábek, Harold Bevan Thompson, Christopher Tisdell (2001)

Commentationes Mathematicae Universitatis Carolinae

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In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.

Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q

Sotiris K. Ntouyas, Thanin Sitthiwirattham, Jessada Tariboon (2014)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.

On the necessary and sufficient conditions for the convergence of the difference schemes for the general boundary value problem for the linear systems of ordinary differential equations

Malkhaz Ashordia (2021)

Mathematica Bohemica

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We consider the numerical solvability of the general linear boundary value problem for the systems of linear ordinary differential equations. Along with the continuous boundary value problem we consider the sequence of the general discrete boundary value problems, i.e. the corresponding general difference schemes. We establish the effective necessary and sufficient (and effective sufficient) conditions for the convergence of the schemes. Moreover, we consider the stability of the solutions...