scholarly journals Remarks on global asymptotic stability of certain quasilinear differential equations

1966 ◽  
Vol 17 (4) ◽  
pp. 815-815
Author(s):  
James S. W. Wong
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Global Asymptotic Stability

On Stability of Solutions of Certain Differential Equations of the Third Order

1967 ◽  
Vol 10 (5) ◽  
pp. 681-688 ◽  
Author(s):  
B.S. Lalli
Keyword(s):  
Differential Equation ◽  
Asymptotic Stability ◽  
Lyapunov Function ◽  
Differential Equations ◽  
Global Asymptotic Stability ◽  
Sufficient Conditions ◽  
Stability Of Solutions ◽  
Third Order ◽  
The Third ◽  
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The purpose of this paper is to obtain a set of sufficient conditions for “global asymptotic stability” of the trivial solution x = 0 of the differential equation1.1using a Lyapunov function which is substantially different from similar functions used in [2], [3] and [4], for similar differential equations. The functions f1, f2 and f3 are real - valued and are smooth enough to ensure the existence of the solutions of (1.1) on [0, ∞). The dot indicates differentiation with respect to t. We are taking a and b to be some positive parameters.

scholarly journals Global asymptotic stability of differential equations in the plane

1991 ◽  
Vol 91 (2) ◽  
pp. 327-335 ◽  
Author(s):  
Armengol Gasull ◽  
Jaume Llibre ◽  
Jorge Sotomayor
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Global Asymptotic Stability
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