Results 1 to 10 of about 180,551 (171)
The asymptotic nature of a class of second order nonlinear system [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2002 In this paper, we obtain some results on the nonoscillatory behaviour of the system (1), which contains as particular cases, some well known systems. By negation, oscillation criteria are derived for these systems.
Juan Nápoles Valdes
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Oscillation Criteria for Nonlinear Fractional Differential Equations
Journal of Applied Mathematics, 2013 Several oscillation criteria are established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional derivative of order α∈(0, 1) of x and η is a quotient of two ...
Run Xu
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Oscillation criteria of fractional differential equations [PDF]
Advances in Difference Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Da-Xue Chen
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Oscillation criteria for delay difference equations
Electronic Journal of Differential Equations, 2001 This paper is concerned with the oscillation of all solutions of the delay difference equation $$ x_{n+1}-x_n+p_nx_{n-k}=0, quad n=0,1,2,dots $$ where ${p_n}$ is a sequence of nonnegative real numbers and $k$ is a positive integer.
Jianhua Shen, I. P. Stavroulakis
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Oscillation Criteria for Qusilinear Even-Order Differential Equations
Mathematics, 2023 In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.
Mnaouer Kachout +4 more
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Oscillation criteria for elliptic systems [PDF]
Proceedings of the American Mathematical Society, 1971 Oscillation criteria are established for quasilinear elliptic partial differential systems of second order in unbounded domains of Euclidean space. The main departures from earlier investigations are: (1) systems of partial differential equations are considered; (2) the equations are nonlinear; (3) the matrices involved are not required to be positive ...
Allegretto, W., Swanson, C. A.
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Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term
Mathematics, 2021 In this work, we present new oscillation conditions for the oscillation of the higher-order differential equations with the middle term. We obtain some oscillation criteria by a comparison method with first-order equations.
Saad Althobati +2 more
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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations
Fractal and Fractional, 2021 In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi +4 more
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Note on some oscillation criteria [PDF]
Proceedings of the American Mathematical Society, 1955 then (1) must be oscillatory. Various refinements as well as variations of the criterion (3) were obtained by Hartman in [1]. The present note will be devoted to the derivation of two further criteria, given in (*) and (**) below, involving the function G(t) of (3).
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Oscillation criteria for even order neutral difference equations [PDF]
Opuscula Mathematica, 2019 In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form \[\Delta^m(x_n+ax_{n-\tau_1}+bx_{n+\tau_2})+p_nx_{n-\sigma_1}^{\alpha}+q_nx_{n+\sigma_2}^{\beta}=0,\quad n\geq n_0 ...
S. Selvarangam +3 more
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