scholarly journals Oscillation criteria for a class of third order neutral distributed delay differential equations with damping

2019 ◽  
pp. 19-28 ◽  
Author(s):  
M. H. Wei ◽  
M. L. Zhang ◽  
X. L. Liu ◽  
Y. H. Yu
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Distributed Delay ◽  
Third Order ◽  
Oscillation Criteria ◽  
Delay Differential ◽  
Distributed Delay Differential Equations

scholarly journals On Periodic Solutions of Delay Differential Equations with Impulses

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 523 ◽  
Author(s):  
Mostafa Bachar
Keyword(s):  
Periodic Solution ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Distributed Delay ◽  
Impulsive Delay Differential Equations ◽  
Impulsive Delay ◽  
Delay Differential ◽  
Distributed Delay Differential Equations

The purpose of this paper is to study the nonlinear distributed delay differential equations with impulses effects in the vectorial regulated Banach spaces R ( [ − r , 0 ] , R n ) . The existence of the periodic solution of impulsive delay differential equations is obtained by using the Schäffer fixed point theorem in regulated space R ( [ − r , 0 ] , R n ) .

scholarly journals On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations

Mathematics ◽  
2021 ◽  
Vol 9 (14) ◽  
pp. 1675
Author(s):  
Irena Jadlovská ◽  
George E. Chatzarakis ◽  
Jozef Džurina ◽  
Said R. Grace
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Nonoscillatory Solution ◽  
Third Order ◽  
Oscillation Criteria ◽  
Delay Differential

In this paper, effective oscillation criteria for third-order delay differential equations of the form, r2r1y′′′(t)+q(t)y(τ(t))=0 ensuring that any nonoscillatory solution tends to zero asymptotically, are established. The results become sharp when applied to a Euler-type delay differential equation and, to the best of our knowledge, improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.

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