On weak solution to a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term.
Guo, Xingming (1999)
International Journal of Mathematics and Mathematical Sciences
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Guo, Xingming (1999)
International Journal of Mathematics and Mathematical Sciences
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Tahamtani, F., Mosaleheh, K., Seddighi, K. (2001)
International Journal of Mathematics and Mathematical Sciences
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Kapitonov, Boris V., Souza, Joel S. (2000)
International Journal of Mathematics and Mathematical Sciences
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Mesloub, Said, Bouziani, Abdelfatah (2001)
Journal of Applied Mathematics
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García-Huidobro, M., Gupta, C.P., Manásevich, R. (2001)
Abstract and Applied Analysis
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El-Borai, Mahmoud M., Moustafa, Osama L., Michael, Fayez H. (2001)
International Journal of Mathematics and Mathematical Sciences
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Oanh Chau (2006)
Applications of Mathematics
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In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.
Jeong, Jin-Mun, Jeong, Doo-Hoan, Park, Jong-Yeoul (2000)
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...
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Bouziani, Abdelfatah (2002)
Abstract and Applied Analysis
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