scholarly journals Interval oscillation theorems for second order nonlinear partial delay differential equations

2009 ◽  
pp. 379-391 ◽  
Author(s):  
Shuli Cui ◽  
Zhiting Xu
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Second Order ◽  
Partial Delay ◽  
Interval Oscillation ◽  
Delay Differential ◽  
Oscillation Theorems

scholarly journals Forced oscillation of conformable fractional partial delay differential equations with impulses

2020 ◽  
Vol 74 (2) ◽  
pp. 61
Author(s):  
S. H. Saker ◽  
K. Logaarasi ◽  
V. Sadhasivam
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Forced Oscillation ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Partial Delay ◽  
Interval Oscillation ◽  
Forced Term ◽  
Delay Differential

In this paper, we establish some interval oscillation criteria for impulsive conformable fractional partial delay differential equations with a forced term. The main results will be obtained by employing Riccati technique. Our results extend and improve some results reported in the literature for the classical differential equations without impulses. An example is provided to illustrate the relevance of the new theorems.

scholarly journals Oscillation Theorems for Second-Order Nonlinear Neutral Delay Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Tongxing Li ◽  
Yuriy V. Rogovchenko
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Oscillatory Behavior ◽  
Second Order ◽  
Neutral Delay ◽  
Neutral Delay Differential Equations ◽  
Delay Differential ◽  
Oscillation Theorems

We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature.

scholarly journals New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation

Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1111
Author(s):  
Shyam Sundar Santra ◽  
Abhay Kumar Sethi ◽  
Osama Moaaz ◽  
Khaled Mohamed Khedher ◽  
Shao-Wen Yao
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Second Order ◽  
Riccati Transformation ◽  
Neutral Delay ◽  
Canonical Operator ◽  
Second Order Differential Equations ◽  
Neutral Delay Differential Equations ◽  
Delay Differential ◽  
Oscillation Theorems

In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form (a(ξ)((v(ξ)+b(ξ)v(ϑ(ξ)))′))′+c(ξ)G1(v(κ(ξ)))+d(ξ)G2(v(ς(ξ)))=0 under canonical and non-canonical operators, that is, ∫ξ0∞dξa(ξ)=∞ and ∫ξ0∞dξa(ξ)<∞. We use the Riccati transformation to prove our main results. Furthermore, some examples are provided to show the effectiveness and feasibility of the main results.

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