Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/61989100:27120/20:10245164

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation

Popis výsledku v původním jazyce

The paper deals with the singular differential equation x&apos;&apos;+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.

Název v anglickém jazyce

Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation

Popis výsledku anglicky

The paper deals with the singular differential equation x&apos;&apos;+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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

NONLINEAR ANALYSIS-THEORY METHODS &amp; APPLICATIONS

ISSN

0362-546X

e-ISSN

—

Svazek periodika

196

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

23

Strana od-do

1-23

Kód UT WoS článku

000526928200007

EID výsledku v databázi Scopus

2-s2.0-85079230846