On a class of third-order nonlocal Hamiltonian operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.10.018
Abstract: Abstract Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric type. Hamiltonian operators within this class are defined by a… read more here.
Keywords: class; hamiltonian operators; third order; class third ... See more keywords
On the boundedness of solutions of a class of third-order rational difference equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1506447
Abstract: ABSTRACT We consider the difference equation with and If we show that for all positive initial conditions the solutions of the difference equations are bounded. If then there exists positive initial conditions such that the… read more here.
Keywords: difference equations; difference; solutions class; boundedness solutions ... See more keywords
A Note on the Periodic Solutions for a Class of Third Order Differential Equations
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DOI: 10.3390/sym13010031
Abstract: The aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using the averaging theory. Moreover, we… read more here.
Keywords: periodic solutions; solutions class; third order; differential equations ... See more keywords
On the Asymptotic Behavior of Class of Third-Order Neutral Differential Equations with Symmetrical and Advanced Argument
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DOI: 10.3390/sym15061165
Abstract: In this paper, we aimed to study some asymptotic properties of a class of third-order neutral differential equations with advanced argument in canonical form. We provide new and simplified oscillation criteria that improve and complement… read more here.
Keywords: advanced argument; neutral differential; third order; class third ... See more keywords