Tariel Kiguradze, Afrah Almutairi

Nonlocal Boundary Value Problems for Second Order Linear Hyperbolic Systems with Two Independent Variables

abstract:
For second order linear hyperbolic systems nonlocal boundary value problems in a characteristic rectangle are investigated. Necessary and sufficient conditions of solvability, unique solvability, and well-posedness of problems under consideration are established.

Mathematics Subject Classification: 35L25, 35L35, 34B08, 34B10, 35B30

Key words and phrases: Hyperbolic equation, linear, higher order, Dirichlet, periodic type