Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]
Opuscula Mathematica, 2017 This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef +2 more
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Oscillations of equations caused by several deviating arguments [PDF]
Opuscula Mathematica, 2019 Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given.
George E. Chatzarakis
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Electronic Journal of Differential Equations, 2020 In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation $$ \Delta^{2}\big(y_n-p_n L(y_{n-s})\big) + q_nG(y_{n-k})=0, $$ and all unbounded solutions of the neutral difference equation $$ \Delta^{2}
Ajit Kumar Bhuyan +2 more
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Improved iterative oscillation tests for first-order deviating differential equations [PDF]
Opuscula Mathematica, 2018 In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients.
George E. Chatzarakis, Irena Jadlovská
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Oscillations of differential equations generated by several deviating arguments
Advances in Difference Equations, 2017 Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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Trigonometrically Fitted Improved Hybrid Method for Oscillatory Problems
Computer Sciences & Mathematics Forum, 2023 Presented in this paper is a trigonometrically fitted scheme based on a class of improved hybrid method for the numerical integration of oscillatory problems.
Yusuf Dauda Jikantoro +2 more
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Oscillatory solutions of Emden-Fowler type differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 more
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Oscillating shells and oscillating balls in AdS
Journal of High Energy Physics, 2017 It has recently been reported that certain thin timelike shells undergo oscillatory motion in AdS. In this paper, we compute two-point function of a probe field in the geodesic approximation in such an oscillating shell background.
Avik Banerjee +3 more
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Oscillations of advanced difference equations with variable arguments
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Consider the first-order advanced difference equation of the form \begin{equation*} \nabla x(n)-p(n)x(\mu (n))=0\text{, }\ n\geq 1\, [\Delta x(n)-p(n)x(\nu (n))=0, n\geq 0], \end{equation*} where $\nabla $ denotes the backward difference operator ...
George Chatzarakis, Ioannis Stavroulakis
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Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients) [PDF]
Opuscula Mathematica, 2006 Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation.
Jarosław Mikołajski, Ewa Schmeidel
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