Antiperiodic solutions to van der Pol equations with state-dependent impulses

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73581504" target="_blank" >RIV/61989592:15310/17:73581504 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/Volumes/2017/247/rachunkova.pdf" target="_blank" >https://ejde.math.txstate.edu/Volumes/2017/247/rachunkova.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Antiperiodic solutions to van der Pol equations with state-dependent impulses
Original language description
In this article we give sufficient conditions for the existence of an antiperiodic solution to the van der Pol equation subject to a finite number of state-dependent impulses. Our approach is based on the reformulation of the problem as a distributional differential equation and on the Schauder fixed point theorem. The impulse functionals need not be Lipschitz continuous nor bounded. As a direct consequence, we obtain an existence result for problem with fixed-time impulses.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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