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DIBLÍK, J. BEREZANSKY, L. BRAVERMAN, E. ROGOVCHENKO, Y.
Original Title
Recent Advances in Oscillation Theory 2011
Type
journal article - other
Language
English
Original Abstract
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.
Keywords
Theory of oscillations, applied theory of differential equations, oscillatory (periodic, almost-periodic, etc) solution, perturbation, dynamical system.
Authors
DIBLÍK, J.; BEREZANSKY, L.; BRAVERMAN, E.; ROGOVCHENKO, Y.
RIV year
2011
Released
2. 12. 2011
ISBN
1687-9643
Periodical
International Journal of Differential Equations
Year of study
Number
1
State
United States of America
Pages from
Pages to
3
Pages count
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" }