A problem for degenerated semilinear hyperbolic system in sector

Authors

  • R.V. Andrusyak Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • V.M. Kyrylych Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • О.V. Peliushkevych Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

hyperbolic system, contraction mapping method, method of characteristics, semilinear equation
Published online: 2011-12-29

Abstract

A boundary problem for the semilinear hyperbolic system in a sector is considered. Some equations of the system have horizontal characteristics. Applying the method of characteristics and princeple of contractive mappings the conditions for global generalized solvability of the problem are established.

How to Cite
(1)
Andrusyak, R.; Kyrylych, V.; Peliushkevych О. A Problem for Degenerated Semilinear Hyperbolic System in Sector. Carpathian Math. Publ. 2011, 3, 4–12.