2017
Том 69
№ 7

All Issues

On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary

Burskii V. P.

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Abstract

Classes of differential equations with constant coefficients admitting unique solutions of Dirichlet and Cauchy boundary-value problems are considered in a bounded domain with algebraic boundary. For the Dirichlet problem in a ball, the necessary and sufficient conditions for the uniqueness of the solution are obtained in the form of a countable sequence of inequalities polynomial in the coefficients of the equation.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 993-1003.

Citation Example: Burskii V. P. On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 898–906.

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