Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems.
Liu, Haihong, Su, Ning (2006)
International Journal of Mathematics and Mathematical Sciences
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Liu, Haihong, Su, Ning (2006)
International Journal of Mathematics and Mathematical Sciences
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Frota, C.L., Lar'kin, N.A. (1998)
Portugaliae Mathematica
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Bofill, F., Quintanilla, R. (2003)
International Journal of Mathematics and Mathematical Sciences
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Isabel N. Figueiredo, Carlos F. Leal, Cecília S. Pinto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified...
Alexander Haščák, Marko Švec (1982)
Czechoslovak Mathematical Journal
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Nguyen Thanh Long, Pham Ngoc Dinh, Alain, Tran Ngoc Diem (2005)
Boundary Value Problems [electronic only]
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Alexander Lomtatidze, Jiří Šremr (2012)
Czechoslovak Mathematical Journal
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We study the question of the existence, uniqueness, and continuous dependence on parameters of the Carathéodory solutions to the Cauchy problem for linear partial functional-differential equations of hyperbolic type. A theorem on the Fredholm alternative is also proved. The results obtained are new even in the case of equations without argument deviations, because we do not suppose absolute continuity of the function the Cauchy problem is prescribed on, which is rather usual assumption...
S. Staněk (1992)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.