On solvability of boundary value problems for higher order nonlinear hyperbolic equations |
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| Authors: | Ivan Kiguradze Tariel Kiguradze |
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| Affiliation: | aA. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1 M. Aleksidze St, Tbilisi 0193, Georgia;bFlorida Institute of Technology, Department of Mathematical Sciences, 150 W University Blvd., Melbourne, FL 32901, United States |
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| Abstract: | In the rectangle Ω=[0,a]×[0,b] for the nonlinear hyperbolic equation the boundary value problems of the type are considered, where  and  are linear bounded functionals.Sufficient conditions of solvability and unique solvability of the general problem and its particular cases (Nicoletti type, Dirichlet, Lidstone and Periodic problems) are established. |
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| Keywords: | Nonlinear Higher order Hyperbolic equation Dirichlet Lidstone Periodic Boundary value problem |
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