Results 1 to 10 of about 33,056 (296)
Integral criteria for second-order linear oscillation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2006 We present several new criteria for the oscillation of the second-order linear equation $ y''(t)+q(t)y(t)=0 $, in which the coefficient $ q $ may or may not change signs. The criteria involve the integral $ \int t^\gamma q(t)\, dt $ for some $ \gamma >0
Man Kam Kwong
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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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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 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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Oscillation and nonoscillation criteria for delay differential equations [PDF]
Proceedings of the American Mathematical Society, 1995 Oscillation and nonoscillation criteria for the first-order delay differential equation \[ x ′
Elbert, A., Stavroulakis, I. P.
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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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Oscillation criteria for nonlinear differential equations with $p(t)$-Laplacian [PDF]
Mathematica Bohemica, 2016 Recently there has been an increasing interest in studying $p(t)$-Laplacian equations, an example of which is given in the following form (|u'(t)|^{p(t)-2}u'(t))'+c(t)|u(t)|^{q(t)-2}u(t)= 0, \quad t>0.
Yutaka Shoukaku
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Oscillation criteria for third-order delay differential equations
Advances in Difference Equations, 2017 The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order delay differential equation of the form ( r 2 ( t ) ( r 1 ( t ) y ′ ( t ) ) ′ ) ′ + q ( t ) y ( τ ( t ) ) = 0 .
George E Chatzarakis +2 more
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Oscillation criteria for delay equations [PDF]
Proceedings of the American Mathematical Society, 2000 Summary: This paper is concerned with the oscillatory behavior of first-order delay differential equations of the form \[ x'(t)+p(t)x({\tau}(t))=0, \quad t\geq t_{0},\tag{1} \] with \(p, {\tau} \in C([t_{0}, \infty), \mathbb{R}^+)\), \(\mathbb{R}^+=[0, \infty), \tau(t)\) is nondecreasing, \(\tau(t)
Kon, M. +2 more
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