scholarly journals Periodic Solution of a Periodic Neutral Delay Equation

1997 ◽  
Vol 214 (1) ◽  
pp. 11-21 ◽  
Author(s):  
Li Yong Kun
Keyword(s):  
Periodic Solution ◽  
Delay Equation ◽  
Neutral Delay

scholarly journals Some Oscillation Criteria for Higher-Order Neutral Emden-Fowler Delay Dynamic Equations on Time Scales

2018 ◽  
Vol 228 ◽  
pp. 01003
Author(s):  
Ying Sui ◽  
Yulong Shi ◽  
Yibin Sun ◽  
Shurong Sun
Keyword(s):  
Time Scales ◽  
Dynamic Equation ◽  
Higher Order ◽  
Delay Equation ◽  
Dynamic Equations ◽  
Neutral Delay ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations

New oscillation criteria are established for higher-order Emdn-Fowler dynamic equation $ q(v)x^{\beta } (\delta (v)) + (r(v)(z^{{\Delta ^{{n - 1}} }} (v))^{\alpha } )^{\Delta } = 0 $ on time scales, $ z(v): = p(v)x(\tau (v)) + x(v) $ Our results extend and supplement those reported in literatures in the sense that we study a more generalized neutral delay equation and do not require $ r^{\Delta } (v) \ge 0 $ and the commutativity of the jump and delay operators.

Nonoscillatory solutions for system of neutral delay equation

2003 ◽  
Vol 54 (1) ◽  
pp. 63-81 ◽  
Author(s):  
H. El-Metwally ◽  
M.R.S. Kulenović ◽  
S. Hadžiomerspahić
Keyword(s):  
Delay Equation ◽  
Neutral Delay ◽  
Nonoscillatory Solutions

scholarly journals Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations

2008 ◽  
Vol 2008 ◽  
pp. 1-13 ◽  
Author(s):  
M. Ayachi ◽  
J. Blot
Keyword(s):  
Variational Methods ◽  
Periodic Solutions ◽  
Delay Equations ◽  
Delay Equation ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Neutral Delay ◽  
Density Result

We provide new variational settings to study the a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu (2006) variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the structure of the set of the a.p. solutions, results of existence of a.p. solutions, results of existence of a.p. solutions, and also a density result for the forced equations.

scholarly journals Stability Switches in a First-Order Complex Neutral Delay Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. Roales ◽  
F. Rodríguez
Keyword(s):  
Delay Equation ◽  
Order Complex ◽  
Stability Switches ◽  
Neutral Delay ◽  
First Order ◽  
Complex Coefficients

Stability of the first-order neutral delay equationx′(t)+ax′(t−τ)=bx(t)+cx(t−τ)with complex coefficients is studied, by analyzing the existence of stability switches.

Oscillation and Nonoscillation Properties of Neutral Differential Equations

1994 ◽  
Vol 46 (2) ◽  
pp. 284-297 ◽  
Author(s):  
L. H. Erbe ◽  
Qingkai Kong
Keyword(s):  
Differential Equations ◽  
Delay Equation ◽  
Neutral Delay ◽  
Nonoscillatory Solutions ◽  
Neutral Differential Equations ◽  
First Order ◽  
Comparison Results ◽  
Oscillation And Nonoscillation

AbstractWe obtain a number of new conditions for oscillation of the first order neutral delay equation with nonconstant coefficients of the formComparison results are also given as well as conditions for the existence of nonoscillatory solutions.

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