Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73599458" target="_blank" >RIV/61989592:15310/20:73599458 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27120/20:10245164
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0362546X20300419" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0362546X20300419</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2020.111783" target="_blank" >10.1016/j.na.2020.111783</a>
Alternative languages
Result language
angličtina
Original language name
Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation
Original language description
The paper deals with the singular differential equation x''+g(x)=p(t), where the function g has a weak singularity at x=0. Sufficient conditions for a coexistence of two types of periodic solutions are presented. The first type is a classical periodic solution which is strictly positive on the real line and does not reach the singularity. The second type is a bouncing periodic solution which reaches the singularity at isolated points. In particular, we state a positive constant K such that there exist at least two 2*PI-periodic bouncing solutions having their maximum less than K and at least one 2*PI-periodic classical solution having its minimum greater than K. The proofs are based on the ideas of the Poincaré-Birkhoff Twist Map Theorem and approximation principles.
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN
0362-546X
e-ISSN
—
Volume of the periodical
196
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
23
Pages from-to
1-23
UT code for WoS article
000526928200007
EID of the result in the Scopus database
2-s2.0-85079230846