Small solutions of the damped half-linear oscillator with step function coefficients

We give a sufficient condition guaranteeing the existence of a small solution, that is a non-trivial solution which tends to 0 as t tends to infinity, in the case when both damping and elasticity coefficients are step functions. With our main theorem we not just generalize the corresponding theorem...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Dénes Attila
Székely László
Dokumentumtípus: Folyóirat
Megjelent: 2018
Sorozat:Electronic journal of qualitative theory of differential equations : special edition 3 No. 46
Kulcsszavak:Differenciálegyenlet, Oszcilláció - differenciálegyenlet
Online Access:http://acta.bibl.u-szeged.hu/55716
LEADER 01361nas a2200205 i 4500
001 acta55716
005 20211112102808.0
008 181106s2018 hu o 0|| zxx d
022 |a 1417-3875 
040 |a SZTE Egyetemi Kiadványok Repozitórium  |b hun 
041 |a zxx 
100 1 |a Dénes Attila 
245 1 0 |a Small solutions of the damped half-linear oscillator with step function coefficients  |h [elektronikus dokumentum] /  |c  Dénes Attila 
260 |c 2018 
300 |a 1-13 
490 0 |a Electronic journal of qualitative theory of differential equations : special edition  |v 3 No. 46 
520 3 |a We give a sufficient condition guaranteeing the existence of a small solution, that is a non-trivial solution which tends to 0 as t tends to infinity, in the case when both damping and elasticity coefficients are step functions. With our main theorem we not just generalize the corresponding theorem for the linear case n = 1, but we even sharpen Hatvani’s theorem concerning the undamped half-linear differential equation. Keywords: small solution, asymptotic stability, half-linear differential equation, step function coefficients, damping, difference equations. 
695 |a Differenciálegyenlet, Oszcilláció - differenciálegyenlet 
700 0 1 |a Székely László  |e aut 
856 4 0 |u http://acta.bibl.u-szeged.hu/55716/1/ejqtde_2018_046.pdf  |z Dokumentum-elérés