scholarly journals THE ASYMPTOTIC BEHAVIOR OF THE FUNDAMENTAL MATRIX OF A SYSTEM OF SECOND-ORDER DIFFERENTIAL EQUATIONS IN A DEGENERATE CASE

2020 ◽  
pp. 710
Author(s):  
R. T. Sadrieva ◽  
N. A. Sidel’nikova
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Fundamental Matrix ◽  
Second Order ◽  
Degenerate Case ◽  
Second Order Differential Equations

Lyapunov Type Integral Inequalities for Certain Differential Equations

1997 ◽  
Vol 4 (2) ◽  
pp. 139-148
Author(s):  
B. G. Pachpatte
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Second Order ◽  
Integral Inequalities ◽  
Asymptotic Behavior Of Solutions ◽  
Second Order Differential Equations ◽  
Elementary Analysis ◽  
Type Integral ◽  
Zeros Of Solutions

Abstract In the present paper we establish Lyapunov type integral inequalities related to the zeros of solutions of certain second-order differential equations by using elementary analysis. We also present some immediate applications of our results to study the asymptotic behavior of solutions of the corresponding differential equations.

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