On Fundamental Boundary-Value Problems for General Elliptic Systems of Second Order with Two Independent Variables.

Abstract

Necessary and sufficient conditions are found for normal solvability of Dirichlet and Poincare boundary-value problems for a system with an arbitrary finite number of equations, and also formulas for the index of the above-mentioned boundary-value problems. The conditions and formulas can be very easily expressed in terms of the coefficients of the system and of the boundary conditions. The method is based on the tools of the theory of generalized analytic functions developed by I. N. Vekua. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 13, 1970
Accession Number
AD0721304

Entities

People

  • A. Dzhuraev

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis