Results 81 to 90 of about 494 (181)

Nonoscillatory solutions of a second-order difference equation of Poincaré type

Applied Mathematics Letters, 2009
For the difference equation \[ x_{n+2}+b_nx_{n+1}+c_nx_n=0 \] with real coefficients satisfying \(b_n\to ...
Medina, Rigoberto, Pituk, Mihaly
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Necessary and sufficient conditions for oscillation of the solutions of even order differential equations

Journal of Numerical Analysis and Approximation Theory, 2012
In this paper, we establish several necessary and sufficient conditions for oscillation of the solutions of the following even order differential equation\[x^{(n)}(t) + q(t)x^\gamma (t) = 0, \quad \mbox{$n$ is even},\]where \( q(t) \in C([t_0 ,\infty ),{\
Cheng Jin-Fa, Chu Yu-Ming
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NONOSCILLATORY SOLUTIONS FOR NONLINEAR DISCRETE SYSTEMS

, 2002
We investigate some asymptotic properties of a nonlinear forced difference system In particular we give necessary and sufficient conditions for existence of the so-called regularly decaying solutions and thereby we complete the results presented in ["New Progress in Difference Equations'', 2004 , pp.493-500, CRC Press, Boca Raton].
MARINI, MAURO, MATUCCI, SERENA, P. REHAK
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Fite-Wintner-Leighton-Type Oscillation Criteria for Second-Order Differential Equations with Nonlinear Damping

Abstract and Applied Analysis, 2013
Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
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Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems

Journal of Applied Mathematics, 2012
This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. The exponential θ-method is applied to p′(t)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(t) and it is shown that the exponential
Qi Wang, Jiechang Wen
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Low-distortion information propagation with noise suppression in swarm networks. [PDF]

Proc Natl Acad Sci U S A, 2023
Tiwari A, Devasia S, Riley JJ.
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Nonoscillatory solutions of systems of neutral differential equations

Hiroshima Mathematical Journal, 1992
The author considers the system of neutral differential equations of the form \[ (1\mu){d^ n\over dt^ n}[x_ i(t)+(-1)^ \mu a_ i(t)x_ i(h_ i(t))]=\sum^ N_{j=1}P_{ij}(t)f_{ij}(x_ j(g_{ij}(t))), \] \(i=1,2,\dots,N\), \(N\geq 2\), \(n\geq 1\), \(\mu\in\{0,1\}\), \(t_ 0\geq 0\), where (a) \(a_ i:[t_ 0,\infty)\to(0,\beta_ i ...
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Existence of nonoscillatory solutions of second-order nonlinear neutral differential equations with distributed deviating arguments

Journal of Taibah University for Science, 2019
Some sufficient conditions are provided for the existence of nonoscillatory solutions of nonlinear second-order neutral differential equations with distributed deviating arguments. The main tool for proving our results is the Banach contraction principle.
M. Tamer Şenel, T. Candan, B. Çına
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Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales

Advances in Difference Equations, 2019
In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed
Yang-Cong Qiu
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Diverse role of decoys on emergence and precision of oscillations in a biomolecular clock. [PDF]

Biophys J, 2021
Dey S, Singh A.
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