Displaying similar documents to “A necessary and sufficient condition for the existence of a unique solution of a discrete 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. ...

A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a p -Laplacian type operator

Chaitan P. Gupta (2007)

Applications of Mathematics

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This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval [ 0 , 1 ] . The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.