Barriers in impulsive antiperiodic problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597913" target="_blank" >RIV/61989592:15310/19:73597913 - isvavai.cz</a>
Result on the web
<a href="http://www.math.u-szeged.hu/ejqtde/p7752.pdf" target="_blank" >http://www.math.u-szeged.hu/ejqtde/p7752.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14232/ejqtde.2019.1.83" target="_blank" >10.14232/ejqtde.2019.1.83</a>
Alternative languages
Result language
angličtina
Original language name
Barriers in impulsive antiperiodic problems
Original language description
Some real world models are described by means of impulse control of nonlinear BVPs, where time instants of impulse actions depend on intersection points of solutions with given barriers. Here we focus our attention on an antiperiodic solution of the van der Pol equation with a positive parameter. Previous results in the literature for this antiperiodic problem assume that impulse points are values of given continuous functionals. Such formulation is certain handicap for applications to real world problems where impulse instants depend on barriers. The paper presents conditions which enable to find such functionals from given barriers. Consequently the existence results for impulsive antiperiodic problem to the van der Pol equation formulated in terms of barriers are reached.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Qualitative Theory of Differential Equations
ISSN
1417-3875
e-ISSN
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Volume of the periodical
2019
Issue of the periodical within the volume
83
Country of publishing house
HU - HUNGARY
Number of pages
9
Pages from-to
1-9
UT code for WoS article
000496557200001
EID of the result in the Scopus database
2-s2.0-85076281585