Monotonous property of non-oscillations of the damped Duffing’s equation
Chaos, Solitons & Fractals, 2006This paper deals with the monotony property of the bounded nonoscillations for the damped Duffing equation \[ \ddot x+\delta\dot x-\mu x+ x^3= 0, \] where \(\delta\) is the damping coefficient. The author is interested in establishing analytic results.
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Non-Oscillation in Linear Delay Differential Systems
Advanced Materials Research, 2012In this paper, we consider the non-oscillatory problems of linear delay differential systems of odd-dimension. Based upon the corresponding characteristic equations, we get some criteria for non-oscillation by utilizing the matrix measures.
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Non-oscillation of a class of third order nonhomogeneous difference equations
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Oscillation and Non-Oscillation Theorems for Fourth Order Difference Equations
Zeitschrift für Analysis und ihre Anwendungen, 2000Sufficient conditions are established for oscillation of all solutions of the fourth order difference equation \Delta a_n \Delta (b_n \Delta (c_n \Delta y_n)) + q_n f (y_{n+1}) = h_n \\ (n \in \mathbb N_0) where
Thandapani, E., Arockiasamy, I. M.
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Adapted Riccati technique and non-oscillation of linear and half-linear equations
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Hasil +2 more
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Non-oscillation Criteria for Hypoelastic Models under Simple Shear Deformation
Journal of Elasticity, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chein-Shan Liu, Hong-Ki Hong
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Oscillation and non-oscillation for second-order linear difference equations
Applied Mathematics and Computation, 2005Oscillation and non-oscillation theorems are proved for the second-order linear difference equation \[ \Delta^2x_{n-1} + p_{n}x_{n} = 0 \] when \((p_{n})\) is a real nonnegative sequence. The main results are discrete analogues of some theorems of Wong for second order ordinary differential equations and generalize earlier results of Zhang and Zhou.
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Oscillation and non‐oscillation results for solutions of perturbed half‐linear equations
Mathematical Methods in the Applied Sciences, 2018The purpose of this paper is to describe the oscillatory properties of second‐order Euler‐type half‐linear differential equations with perturbations in both terms. All but one perturbations in each term are considered to be given by finite sums of periodic continuous functions, while coefficients in the last perturbations are considered to be general ...
Petr Hasil, Michal Veselý
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ABOUT THE NON-OSCILLATION AND THE CRITICAL NON-OSCILLATION OF DYNAMIC EQUATIONS ON TIME SCALES
2023Sergey Shabrov, Zh. I. Bakhtina
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Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients
Mathematical Methods in the Applied Sciences, 2020We deal with Euler‐type half‐linear second‐order differential equations, and our intention is to derive conditions in order their non‐trivial solutions are non‐oscillatory. This paper connects to the article P. Hasil, J. Šišoláková, M. Veselý: Averaging technique and oscillation criterion for linear and half‐linear equations, Appl. Math. Lett. 92 (2019)
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