Dénes, Attila and Székely, László: Small solutions of the damped halflinear oscillator with step function coefficients. In: Electronic journal of qualitative theory of differential equations : special edition, (3) 46. pp. 113. (2018)

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Abstract
We give a sufficient condition guaranteeing the existence of a small solution, that is a nontrivial 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 halflinear differential equation. Keywords: small solution, asymptotic stability, halflinear differential equation, step function coefficients, damping, difference equations.
Item Type:  Article 

Journal or Publication Title:  Electronic journal of qualitative theory of differential equations : special edition 
Date:  2018 
Volume:  3 
Number:  46 
ISSN:  14173875 
Page Range:  pp. 113 
Uncontrolled Keywords:  Differenciálegyenlet, Oszcilláció  differenciálegyenlet 
Additional Information:  Bibliogr.: p. 1113. ; Összefoglalás angol nyelven 
Date Deposited:  2018. Nov. 06. 14:38 
Last Modified:  2018. Nov. 07. 13:34 
URI:  http://acta.bibl.uszeged.hu/id/eprint/55716 
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