On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations.
Bouziani, Abdelfatah (2002)
Abstract and Applied Analysis
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Bouziani, Abdelfatah (2002)
Abstract and Applied Analysis
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Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Napso, A.F. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Alborova, M.S. (2000)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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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.
Bouziani, Abdelfatah (2002)
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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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...
Denche, M., Marhoune, A.L. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Feireisl, E., O'Dowd, G. (2000)
Portugaliae Mathematica
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Shujun You, Boling Guo, Xiaoqi Ning (2012)
Applications of Mathematics
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This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.
Merazga, Nabil, Bouziani, Abdelfatah (2005)
Journal of Applied Mathematics and Stochastic Analysis
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