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DIBLÍK, J. BEREZANSKY, L. BRAVERMAN, E. ROGOVCHENKO, Y.
Originální název
Recent Advances in Oscillation Theory 2011
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
Originální abstrakt
Theory of oscillations is an important and well established branch of the modern theory of differential equations concerned, in a broad sense, with the study of oscillatory phenomena arising in applied problems in technology, natural and social sciences. Theoretical aspects of the classical theory of oscillations regard existence and non-existence of oscillatory (periodic, almost-periodic, etc.) solutions to a given equation or system, and description of asymptotic behavior of such solutions. It is well known that oscillation of solutions is an intrinsic feature of many dynamical systems. Furthermore, oscillations can be induced in a non-oscillatory system by nonlinear terms, delayed or advanced arguments, randomness, though these factors may also destroy oscillations arising in the original system. In the paper an overview of recent results in oscillation theory is given.
Klíčová slova
Theory of oscillations, applied theory of differential equations, oscillatory (periodic, almost-periodic, etc) solution, perturbation, dynamical system.
Autoři
DIBLÍK, J.; BEREZANSKY, L.; BRAVERMAN, E.; ROGOVCHENKO, Y.
Rok RIV
2011
Vydáno
2. 12. 2011
ISSN
1687-9643
Periodikum
International Journal of Differential Equations
Ročník
Číslo
1
Stát
Spojené státy americké
Strany od
Strany do
3
Strany počet
BibTex
@article{BUT75784, author="Josef {Diblík} and Leonid {Berezansky} and Elena {Braverman} and Yuriy {Rogovchenko}", title="Recent Advances in Oscillation Theory 2011", journal="International Journal of Differential Equations", year="2011", volume="2011", number="1", pages="1--3", issn="1687-9643" }