scholarly journals Periodic Solution of a Periodic Neutral Delay Equation

1997 ◽  
Vol 214 (1) ◽  
pp. 11-21 ◽  
Author(s):  
Li Yong Kun
2018 ◽  
Vol 228 ◽  
pp. 01003
Author(s):  
Ying Sui ◽  
Yulong Shi ◽  
Yibin Sun ◽  
Shurong Sun

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.


2003 ◽  
Vol 54 (1) ◽  
pp. 63-81 ◽  
Author(s):  
H. El-Metwally ◽  
M.R.S. Kulenović ◽  
S. Hadžiomerspahić

2008 ◽  
Vol 2008 ◽  
pp. 1-13 ◽  
Author(s):  
M. Ayachi ◽  
J. Blot

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.


2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. Roales ◽  
F. Rodríguez

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.


1994 ◽  
Vol 46 (2) ◽  
pp. 284-297 ◽  
Author(s):  
L. H. Erbe ◽  
Qingkai Kong

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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