### Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain.

Clark, Marcondes Rodrigues (1996)

International Journal of Mathematics and Mathematical Sciences

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Clark, Marcondes Rodrigues (1996)

International Journal of Mathematics and Mathematical Sciences

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Khalifa, M.E. (1995)

International Journal of Mathematics and Mathematical Sciences

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Clark, Marcondes Rodrigues (1994)

International Journal of Mathematics and Mathematical Sciences

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Balachandran, K., Park, J.Y. (2002)

Journal of Applied Mathematics and Stochastic Analysis

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B. Eshmatov, E. Karimov (2007)

Open Mathematics

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In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type...

Boško Jovanović, Lubin Vulkov (2012)

Open Mathematics

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In this paper we investigate a mixed parabolic-hyperbolic initial boundary value problem in two disconnected intervals with Robin-Dirichlet conjugation conditions. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate is obtained.

Mesloub, S., Messaoudi, S.A. (2005)

Matematichki Vesnik

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Bahaguna, D., Pani, A.K., Raghavendra, V. (1990)

Journal of Applied Mathematics and Stochastic Analysis

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Ebihara, Y, Pereira, D.C. (1989)

International Journal of Mathematics and Mathematical Sciences

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Bouziani, Abdelfatah (2000)

Journal of Applied Mathematics and Stochastic Analysis

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Milan Pultar (1984)

Aplikace matematiky

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