Periodic and Subharmonic Solutions of Generalized Lazer-Solimini Equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73628740" target="_blank" >RIV/61989592:15310/24:73628740 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/5.0212915" target="_blank" >http://dx.doi.org/10.1063/5.0212915</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0212915" target="_blank" >10.1063/5.0212915</a>

Result language
angličtina
Original language name
Periodic and Subharmonic Solutions of Generalized Lazer-Solimini Equation
Original language description
The aim of the contribution is to investigate the singular nonlinear differential equation of the second order known as the generalized Lazer–Solimini equation: x́́(t) + g(x(t)) = p(t), where the nonlinearity g has a singularity at x = 0 and p is a continuous periodic function. Besides classical positive periodic solutions, the so-called bouncing solutions have been studied, i.e. solutions that collide with the singularity with the elastic impact condition x́(τ+) = −x́(τ−) if x(τ) = 0. In the case of attractive weak singularity of g, sufficient conditions for the coexistence of classical periodic solutions, periodic bouncing solutions and subharmonic bouncing solutions are discussed. For numerical simulations, the technique based on the shooting approach for state-dependent impulsive boundary value problems is considered.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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