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
Similarity:
Displaying similar documents to “On dynamics of viscoelastic multidimensional medium with variable boundary.”
Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems.
On a variational inequality for the nonhomogeneous degenerated Kirchhoff equation with a frictional damping.
Frota, C.L., Lar'kin, N.A. (1998)
Portugaliae Mathematica
Similarity:
Continuous dependence of solutions in magneto-elasticity theory.
Bofill, F., Quintanilla, R. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Conical differentiability for bone remodeling contact rod models
Isabel N. Figueiredo, Carlos F. Leal, Cecília S. Pinto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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...
Integral equivalence of two systems of differential equations
Alexander Haščák, Marko Švec (1982)
Czechoslovak Mathematical Journal
Similarity:
On a shock problem involving a nonlinear viscoelastic bar.
Nguyen Thanh Long, Pham Ngoc Dinh, Alain, Tran Ngoc Diem (2005)
Boundary Value Problems [electronic only]
Similarity:
On the Cauchy problem for linear hyperbolic functional-differential equations
Alexander Lomtatidze, Jiří Šremr (2012)
Czechoslovak Mathematical Journal
Similarity:
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...
Nonnegative solutions of a class of second order nonlinear differential equations
S. Staněk (1992)
Annales Polonici Mathematici
Similarity:
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.
On positive solutions of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1995)
Annales Polonici Mathematici
Similarity:
The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.