BOUNDARY-VALUE PROBLEM FOR A TWO-DIMENSIONAL SECOND ORDER-TYPE EQUATION WITH DISCRETE ADDITIVE AND MULTIPLICATIVE DERIVATIVES
DOI:
https://doi.org/10.31618/ESSA.2782-1994.2021.1.68.16Keywords:
Boundary-value problem, two-dimensional equation, discrete additive derivative, discrete multiplicative derivative, second order-type equations, general solutions of the equation, solutions of the boundary-value problem.Abstract
The present paper is concerned with the study of solutions to the boundary-value problem for a two-dimensional second order-type differential equation with a discrete additive derivative for one argument and a discrete multiplicative derivative for another argument.
We will determine the general solution of the considered equation, containing some derived sequences. Further, these unknown sequences are determined using an assigned boundary condition.
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