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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 7, Pages 1171–1185 (Mi zvmmf10065)

Analysis of mixed problems of matching in hyperbolic systems of different orders

E. A. Gasymov

Baku State University, ul. Z. Khalilova 23, Baku, 1148, Azerbaijan

Abstract: A mixed problem of matching in hyperbolic systems of different orders with irregular boundary conditions is considered. In particular, these systems include hyperbolic systems with coefficients having discontinuities of the first kind. Under certain conditions, an analytical representation of the solution of the problem is obtained by means of a finite integral transform.

Key words: hyperbolic systems of different orders, integral transform method, analytical representation of solutions.

UDC: 517.95

MSC: 35L25

Received: 26.08.2013
Revised: 26.01.2014

DOI: 10.7868/S0044466914070060


 English version:
Computational Mathematics and Mathematical Physics, 2014, 54:7, 1144–1158

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© Steklov Math. Inst. of RAS, 2026