On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions.
Ha, Tae Gab, Park, Jong Yeoul (2010)
Boundary Value Problems [electronic only]
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Ha, Tae Gab, Park, Jong Yeoul (2010)
Boundary Value Problems [electronic only]
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Kavallaris, Nikos I., Tzanetis, Dimitrios E. (2002)
Applied Mathematics E-Notes [electronic only]
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Bouziani, Abdelfatah (2003)
Journal of Applied Mathematics
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Bouziani, Abdelfatah (2004)
International Journal of Mathematics and Mathematical Sciences
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A. Berdyshev, E. Karimov (2006)
Open Mathematics
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In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.
Ronto, Miklos, Shchobak, Natalya (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Yakubov, Yakov (2004)
Abstract and Applied Analysis
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Wiener, Joseph, Aftabizadeh, A.R. (1985)
International Journal of Mathematics and Mathematical Sciences
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Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Gupta, Chaitan P. (1988)
International Journal of Mathematics and Mathematical Sciences
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Artino, Ralph A., Barros-Neto, José (1994)
Portugaliae Mathematica
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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...