Oscillation theorems for second-order nonlinear perturbed differential equations with damping

2011 ◽  
Vol 15 (6) ◽  
pp. 510-516 ◽  
Author(s):  
Meng Zhang ◽  
Guo-hua Song
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Oscillation Theorems

scholarly journals Oscillation theorems for second order nonlinear forced differential equations

SpringerPlus ◽  
2014 ◽  
Vol 3 (1) ◽  
Author(s):  
Ambarka A Salhin ◽  
Ummul Khair Salma Din ◽  
Rokiah Rozita Ahmad ◽  
Mohd Salmi Md Noorani
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Oscillation Theorems

scholarly journals Oscillation theorems for second order nonlinear differential equations with deviating arguments

1987 ◽  
Vol 10 (1) ◽  
pp. 35-45 ◽  
Author(s):  
S. R. Grace ◽  
B. S. Lalli
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Oscillatory Behaviour ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Oscillation Theorems

New oscillation criteria for the oscillatory behaviour of the differential(a(t)x·(t)) ·+p(t)x·(t)+q(t)f(x[g(t)])=0                ,( · =ddt)and(a(t)ψ(x(t))x·(t)) ·+p(t)x·(t)+q(t)f(x[g(t)])=0,are established

scholarly journals Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Shurong Sun ◽  
Tongxing Li ◽  
Zhenlai Han ◽  
Hua Li
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Second Order ◽  
Neutral Functional Differential Equations ◽  
Oscillation Criteria ◽  
Functional Differential ◽  
Oscillation Theorems

New oscillation criteria are established for the second-order nonlinear neutral functional differential equations of the form(r(t)|z′(t)|α−1z′(t))’+f(t,x[σ(t)])=0,t≥t0, wherez(t)=x(t)+p(t)x(τ(t)),p∈C1([t0,∞),[0,∞)), andα≥1. Our results improve and extend some known results in the literature. Some examples are also provided to show the importance of these results.

scholarly journals Oscillation theorems of solution of second-order neutral differential equations

2021 ◽  
Vol 6 (11) ◽  
pp. 12771-12779
Author(s):  
Ali Muhib ◽  
◽  
Hammad Alotaibi ◽  
Omar Bazighifan ◽  
Kamsing Nonlaopon ◽  
...  
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Second Order ◽  
Neutral Functional Differential Equations ◽  
Neutral Differential Equations ◽  
Theoretical Support ◽  
Functional Differential ◽  
Oscillation Theorems ◽  
New Criteria ◽  
Oscillation Of Solutions

<abstract><p>In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory. The obtained results can be used to develop and provide theoretical support for and further develop the oscillation study for a class of second-order neutral differential equations. Finally, an illustrated example is given to demonstrate the effectiveness of our new criteria.</p></abstract>

Sign in / Sign up

Export Citation Format

Share Document