Results 81 to 90 of about 436 (179)
Oscillatory and nonoscillatory solutions of neutral differential equations [PDF]
Annales Polonici Mathematici, 2000 Consider the neutral differential equation \[ {d^n\over dt^n} \bigl[x(t)+ \lambda x(t-\tau) \bigr]+f\biggl( t,x\bigl(g(t) \bigr)\biggr) =0 \] with \(\lambda>0\), \(\tau>0\), \(g\in C([t_0,\infty))\), \(\lim_{t\to \infty} g(t)= \infty\), \(f\in C([t_0,\infty)\times\mathbb{R})\) and \(|f(t,u) |\leq F(t, |u|)\) where \(F\) is a continuous and ...
openaire +2 more sources
Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations [PDF]
Opuscula Mathematica, 2006 In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above ...
Małgorzata Migda
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On Nonoscillation of Advanced Differential Equations with Several Terms
Abstract and Applied Analysis, 2011 Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal
L. Berezansky, E. Braverman
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On Second-Order Differential Equations with Nonhomogeneous Φ-Laplacian
Boundary Value Problems, 2010 Equation with general nonhomogeneous Φ-Laplacian, including classical and singular Φ-Laplacian, is investigated. Necessary and sufficient conditions for the existence of nonoscillatory solutions satisfying certain asymptotic boundary ...
Mariella Cecchi +2 more
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On third-order linear difference equations involving quasi-differences
Advances in Difference Equations, 2006 We study the third-order linear difference equation with quasi-differences and its adjoint equation. The main results of the paper describe relationships between the oscillatory and nonoscillatory solutions of both equations.
Došlá Zuzana, Kobza Aleš
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On the oscillation of the solutions to linear difference equations with variable delay
Electronic Journal of Differential Equations, 2008 A new criterion for the oscillation of the solutions to linear difference equations with variable delay is established. This criterion is based on a new fundamental lemma, which provides a useful inequality for the nonoscillatory solutions of the ...
Christos G. Philos +2 more
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Discrete Dynamics in Nature and Society, 2013 We consider the oscillations of numerical solutions for the nonlinear delay differential equations in the control of erythropoiesis. The exponential θ-method is constructed and some conditions under which the numerical solutions oscillate are presented ...
Qi Wang, Jiechang Wen
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Oscillation and nonoscillation for impulsive dynamic equations on certain time scales
Advances in Difference Equations, 2006 We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear alternative of Leray-Schauder type combined
Henderson Johnny +2 more
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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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Collective Synchronous Spiking in a Brain Network of Coupled Nonlinear Oscillators. [PDF]
Phys Rev Lett, 2021 Galinsky VL, Frank LR.
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