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

Authors

  • V. P. Burskii

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.

Published

25.07.1993

Issue

Section

Research articles

How to Cite

Burskii, V. P. “On the Uniqueness of Solutions to Some Boundary-Value Problems for Differential Equations in a Domain With Algebraic Boundary”. Ukrains’kyi Matematychnyi Zhurnal, vol. 45, no. 7, July 1993, pp. 898–906, https://umj.imath.kiev.ua/index.php/umj/article/view/5882.