Results 1 to 10 of about 180,964 (192)
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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The asymptotic nature of a class of second order nonlinear system [PDF]
, 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.
NápolesValdes, Juan
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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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Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations
AIMS Mathematics, 2021 The objective of this paper is to study the oscillation criteria for odd-order neutral differential equations with several delays. We establish new oscillation criteria by using Riccati transformation. Our new criteria are interested in complementing and
Clemente Cesarano +3 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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Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior
Mathematical Biosciences and Engineering, 2022 In this work, by using both the comparison technique with first-order differential inequalities and the Riccati transformation, we extend this development to a class of third-order neutral differential equations of the mixed type. We present new criteria
B. Qaraad +5 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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