On the Lipschitz stability of complex systems of differential equations

1996 ◽  
Vol 82 (3) ◽  
pp. 3406-3408
Author(s):  
A. V. Stepanov
Keyword(s):  
Differential Equations ◽  
Complex Systems ◽  
Lipschitz Stability ◽  
Systems Of Differential Equations

scholarly journals Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations

1996 ◽  
Vol 19 (3) ◽  
pp. 435-440
Author(s):  
Olusola Akinyele
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Differential Equations ◽  
Lyapunov Functions ◽  
Practical Stability ◽  
Lipschitz Stability ◽  
Comparison Result ◽  
Systems Of Differential Equations ◽  
New Concepts ◽  
Perturbed Systems

We introduce a new comparison result which will be an important tool when we apply cone valued Lyapunov like functions. We also introduce new concepts ofϕ0-uniform Lipschitz stability and(λ,λ,ϕ0)-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems. Our results are also applicable to nonlinear perturbed systems.

scholarly journals On eventual stability of impulsive systems of differential equations

2001 ◽  
Vol 27 (8) ◽  
pp. 485-494
Author(s):  
A. A. Soliman
Keyword(s):  
Differential Equations ◽  
Lipschitz Stability ◽  
Impulsive Systems ◽  
Systems Of Differential Equations ◽  
Eventual Stability

The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.

scholarly journals ON THE INTERLACING PROPERTY OF STABLE COMPLEX SYSTEMS OF DIFFERENTIAL EQUATIONS

1994 ◽  
Vol 25 (4) ◽  
pp. 317-320
Author(s):  
ZIAD ZAHREDDINE
Keyword(s):  
Differential Equations ◽  
Complex Systems ◽  
Stability Theory ◽  
Interesting Property ◽  
Stable Complex ◽  
Systems Of Differential Equations ◽  
The Stability ◽  
Stability Results ◽  
Interlacing Property

By exploiting recent stability results, an interesting property known in stability theory as the interlacing property is revisited and reproduced. The approach is straightforward and highlights the central role that positive para-odd functions is currently playing in the stability of complex systems of differential equations.

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