Results 81 to 90 of about 1,593 (172)
A nonoscillation theorem for Emden–Fowler equations
Journal of Mathematical Analysis and Applications, 2002 The author proves a nonoscillation theorem for the second-order Emden-Fowler equation \[ \quad y''+a(x)| y| ^{\gamma-1}y=0, \quad \gamma>0, \tag{E} \] where \(a(x)\) is positive and absolutely continuous on \((0,\infty)\). Let \(\psi(x)=x^{(\gamma+3)/2+\delta}\) where \(\delta\) is any positive number. The following theorem is proved: Let \(\gamma \not
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AxiomsIn this paper, we address the study of the oscillatory properties of the solutions of a class of third-order delay differential equations. The primary objective of this study is to provide new relationships that can be employed to obtain criteria for ...
Asma Al-Jaser +3 more
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Qualitative properties of a third-order differential equation with a piecewise constant argument
Electronic Journal of Differential Equations, 2017 We consider a third order differential equation with piecewise constant argument and investigate oscillation, nonoscillation and periodicity properties of its solutions.
Huseyin Bereketoglu +2 more
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Nonoscillation in a delay-logistic equation [PDF]
Quarterly of Applied Mathematics, 1985 Consider the equation \(x'(t)=x(t)(b-\sum^{n}_{j=1}a_ jx(t-\tau_ j),\) \(a_ j\), b, \(\tau_ j\) positive constants, with the initial function \(\phi\) (s)\(\geq 0\), \(\phi (0)>0\). Assume \((\sum^{n}_{j=1}a_ j)x^*\tau \leq 1/e,\) \(x^*=b/(\sum^{n}_{j=1}a_ j)\), \(\tau =\max \tau_ j\). Then there exists a solution such that \(x(t)-x^*\) has no zeros on
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On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term
Discrete Dynamics in Nature and Society, 2008 This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established.
Jin-Zhu Zhang +5 more
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Oscillation and global asymptotic stability of a neuronic equation with two delays
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper we study the oscillatory and global asymptotic stability of a single neuron model with two delays and a general activation function. New sufficient conditions for the oscillation and nonoscillation of the model are given.
Hassan A. El-Morshedy, B. M. Elmatary
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Oscillation and Nonoscillation of Asymptotically Almost Periodic Half-Linear Difference Equations
Abstract and Applied Analysis, 2013 We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory.
Michal Veselý, Petr Hasil
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New oscillation criteria for third order nonlinear functional differential equations
Electronic Journal of Qualitative Theory of Differential EquationsThe authors consider the general third order functional differential equation \begin{align*} \left(a_{2}(\nu)\left[\left(a_{1}(\nu)\left(x'(\nu)\right)^{\alpha_{1}}\right)'\right]^{\alpha_{2}}\right)'+q(\nu) x^{\beta}(\tau(\nu))=0,\qquad\nu\geq \nu_{0},
John Graef, Said Grace, Gokula Chhatria
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Hybrid motion artifact detection and correction approach for functional near-infrared spectroscopy measurements. [PDF]
J Biomed Opt, 2022 Gao L +7 more
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AxiomsIn the current paper, we aim to study the oscillatory behavior of a new class of third-order differential equations. In the present study, we are interested in a better understanding of the relationships between the solutions and their derivatives.
Najiyah Omar +5 more
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