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Scalar second order evolution equations possessing an irreducible sl2-valued zero curvature representation
We find all scalar second-order evolution equations that possess an sl_2-valued zero-curvature representation irreducibleto a proper subalgebra of sl_2. None of these zero-curvature representation depends on a para...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Dynamics of second order in time evolution equations with state-dependent delay
We deal with a class of second order in time nonlinear evolution equations with state-dependent delay. This class covers several important PDE models arising in the theory of nonlinear plates. We first prove well-p...
BD - Teorie informace
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Evolution Equations, Energy Spaces, Almost Periodic Solutions
Conditions ensuring the almost periodicity in the energy space of a couple (u,du/dt), where u is a solution of a second order abstract evolution equation, are given. The result is applied to a partial differential ...
BA - Obecná matematika
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Shape maps for second order partial differential equations
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of shape maps. The trace of such maps represents a congruence volume whose collapse we study through an appropriat...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Oscillatory Properties of Almost Periodic Solutions to Abstract Evolution Equations
A survey of well- and less-known properties of almost periodic functions is given. A class of abstract evolution equations is shown for which the use of classical Fourier method is justified, all solutions are almost periodic in the...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process
Semilinear second order stochastic hyperbolic equations driven by a spatially homogeneous Wiener process are studied. Sufficient conditions in terms of Lyapunov functions for the equation to have global mild or str...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CONVERGENCE TO EQUILIBRIUM OF RELATIVELY COMPACT SOLUTIONS TO EVOLUTION EQUATIONS
We prove convergence to equilibrium for relatively compact solutions to an abstract evolution equation satisfying energy estimates near the omega-limit set inequalities. We apply the abstract results to several ODEs and PDEs of firs...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Scorza-Dragoni approach to second-order boundary value problems in abstract spaces
The existence and localization of strong (Carathéodory) solutions is proved for a second-order Floquet problem in a Banach space. The result is obtained by combining a continuation principle together with a bounding (Liapunov-like) ...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Oscillatory properties of second order nonlinear differential equations
Oscillation theorems for second order nonlinear differential equations are given.
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Oscillatory properties of second order nonlinear differential equations.
Oscillatory properties of solutions of second order nonlinear differential equation are investigated.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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