scholarly journals Existence of Nonoscillatory Solution of Second Order Linear Neutral Delay Equation

1998 ◽  
Vol 228 (2) ◽  
pp. 436-448 ◽  
Author(s):  
M.R.S. Kulenović ◽  
S. Hadžiomerspahić
Keyword(s):  
Nonoscillatory Solution ◽  
Second Order ◽  
Delay Equation ◽  
Neutral Delay ◽  
Order Linear

scholarly journals On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term

2008 ◽  
Vol 2008 ◽  
pp. 1-9
Author(s):  
Jin-Zhu Zhang ◽  
Zhen Jin ◽  
Tie-Xiong Su ◽  
Jian-Jun Wang ◽  
Zhi-Yu Zhang ◽  
...  
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Sufficient Conditions ◽  
Nonoscillatory Solution ◽  
Contraction Mapping Principle ◽  
Second Order ◽  
Neutral Delay ◽  
Forcing Term ◽  
Neutral Delay Differential Equation ◽  
Delay Differential

This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established. The criteria obtained in this paper complement and extend several known results in the literature. Some examples illustrating our main results are given.

scholarly journals Second-order impulsive differential systems with mixed and several delays

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shyam Sundar Santra ◽  
Apurba Ghosh ◽  
Omar Bazighifan ◽  
Khaled Mohamed Khedher ◽  
Taher A. Nofal
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Oscillation Theory ◽  
Second Order ◽  
Neutral Delay ◽  
Differential Systems ◽  
Impulsive Differential Systems ◽  
Several Delays ◽  
Necessary And Sufficient

AbstractIn this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations. Our oscillation results complement, simplify and improve recent results on oscillation theory of this type of nonlinear neutral impulsive differential equations that appear in the literature. An example is provided to illustrate the value of the main results.

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