Results 81 to 90 of about 437 (174)
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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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 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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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 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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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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Collective Synchronous Spiking in a Brain Network of Coupled Nonlinear Oscillators. [PDF]
Phys Rev Lett, 2021 Galinsky VL, Frank LR.
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Nonoscillatory Solutions of Differential Equations with Retarded Arguments
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1975 KUSANO, Takasi, ONOSE, Hiroshi
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A classification scheme for nonoscillatory solutions of a higher order neutral difference equation
Advances in Difference Equations, 2006 Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii's fixed point theorem, existence criteria are then provided for justification of ...
Cheng Sui Sun +2 more
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