On the asymptotic behavior of second order differential inequalities with alternating coefficients

1980 ◽  
Vol 98 (1) ◽  
pp. 317-327 ◽  
Author(s):  
M. R. Kulenovic ◽  
M. K. Grammatikopoulos
Keyword(s):  
Asymptotic Behavior ◽  
Second Order ◽  
Differential Inequalities

scholarly journals New Results on Qualitative Behavior of Second Order Nonlinear Neutral Impulsive Differential Systems with Canonical and Non-Canonical Conditions

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 934
Author(s):  
Shyam Sundar Santra ◽  
Khaled Mohamed Khedher ◽  
Kamsing Nonlaopon ◽  
Hijaz Ahmad
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Oscillatory Behavior ◽  
Second Order ◽  
Discrete Equation ◽  
Qualitative Behavior ◽  
Differential Systems ◽  
Impulsive Differential Systems

The oscillation of impulsive differential equations plays an important role in many applications in physics, biology and engineering. The symmetry helps to deciding the right way to study oscillatory behavior of solutions of impulsive differential equations. In this work, several sufficient conditions are established for oscillatory or asymptotic behavior of second-order neutral impulsive differential systems for various ranges of the bounded neutral coefficient under the canonical and non-canonical conditions. Here, one can see that if the differential equations is oscillatory (or converges to zero asymptotically), then the discrete equation of similar type do not disturb the oscillatory or asymptotic behavior of the impulsive system, when impulse satisfies the discrete equation. Further, some illustrative examples showing applicability of the new results are included.

scholarly journals Focal Subfunctions and Second Order Differential Inequalities

1991 ◽  
Vol 21 (3) ◽  
pp. 1127-1141 ◽  
Author(s):  
S. Umamaheswaram ◽  
M. Venkata Rama
Keyword(s):  
Second Order ◽  
Differential Inequalities
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