Results 11 to 20 of about 181,063 (291)
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 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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Integral criteria for second-order linear oscillation
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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New Results for Kneser Solutions of Third-Order Nonlinear Neutral Differential Equations
Mathematics, 2020 In this paper, we consider a certain class of third-order nonlinear delay differential equations r w ″ α ′ v + q v x β ς v = 0 , for v ≥ v 0 , where w v = x v + p v x ϑ v .
Osama Moaaz +3 more
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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 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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Some comparison criteria in oscillation theory [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractThe purpose of this paper is to establish comparison criteria, by which the oscillatory and asymptotic behavior of linear retarded differential equations of arbitrary order is inherited from the oscillation of an associated second order linear ordinary differential equation.
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Self-Sustained Turn-Off Oscillation of SiC MOSFETs: Origin, Instability Analysis, and Prevention
Energies, 2019 This paper presents a comprehensive investigation on the self-sustained oscillation of silicon carbide (SiC) MOSFETs. At first, based on the double pulse switching test, it is identified that the self-sustained oscillation of SiC MOSFETs can be triggered
Peng Xue +4 more
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Oscillation criteria for Hamiltonian matrix difference systems [PDF]
Proceedings of the American Mathematical Society, 1993 We obtain some oscillation criteria for the Hamiltonian difference system \[ { Δ Y ( t ) = B ( t ) Y ( t + 1 )
Erbe, L. H., Yan, Pengxiang
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