On the existence of solutions of strongly damped nonlinear wave equations.
Park, Jong Yeoul, Bae, Jeong Ja (2000)
International Journal of Mathematics and Mathematical Sciences
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Park, Jong Yeoul, Bae, Jeong Ja (2000)
International Journal of Mathematics and Mathematical Sciences
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Cantarelli, Giancarlo (1999)
International Journal of Mathematics and Mathematical Sciences
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Jaromír Kuben (1984)
Czechoslovak Mathematical Journal
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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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Guo, Xingming (1999)
International Journal of Mathematics and Mathematical Sciences
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Guo, Xingming (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.
Aizicovici, Sergiu, McKibben, Mark (1999)
Abstract and Applied Analysis
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Avramescu, Cezar, Vladimirescu, Cristian (2000)
Abstract and Applied Analysis
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