<abstract xmlns="http://www.w3.org/1999/xhtml"><p>One considers two boundary value problems for the Laplacian and biharmonic operator in a plane sector with boundary conditions of the Dirichlet and the Neumann type on the angle sides. The system of difference equations of first order to which this problem is reduced, is explicitly written out. Certain cases of solvability for such difference equations of first order are described; it will be useful for studying similar equations.</p></abstract>

One considers two boundary value problems for the Laplacian and biharmonic operator in a plane sector with boundary conditions of the Dirichlet and the Neumann type on the angle sides. The system of difference equations of first order to which this problem is reduced, is explicitly written out. Certain cases of solvability for such difference equations of first order are described; it will be useful for studying similar equations.

On Some Difference Equations of First Order

Chair of Pure Mathematics, Lipetsk State Technical University, Moskovskaya 30, Lipetsk 398600, RUSSIA

Tatra Mountains Mathematical Publications

{"article-title":"On Some Difference Equations of First Order"}

One considers two boundary value problems for the Laplacian and biharmonic operator in a plane sector with boundary conditions of the Dirichlet and the Neumann...

On Some Difference Equations of First Order

Published Online: Jul 04, 2013

Page range: 165 - 181

DOI: https://doi.org/10.2478/tmmp-2013-00013

This content is open access.