Elbert-type comparison theorems for a class of nonlinear Hamiltonian systems

Picone-type identities are established for a pair of solutions $(x,y)$ and $(X,Y)$ of the respective systems of the form \begin{equation} x' = r(t)x + p(t)\varphi_{1/\alpha} (y), \qquad y' = - q(t)\varphi_\alpha (x) - r(t)y, \tag{1.1} \end{equation} and \begin{equation} X' = R(t)X +...

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Bibliographic Details
Main Authors: Jaroslav Jaroš, Takaŝi Kusano
Format: Article
Language:English
Published: University of Szeged 2016-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5132