Global asymptotic stability of differential equations in the plane
نویسندگان
چکیده
منابع مشابه
On Global Asymptotic Stability of Solutions of Differential Equations(1)
I ■V *■ • • • iV*TC | V j j J j (1.1) x'=/(x) in which f(x) is of class C1 on En. Let J(x) = (df/dx) denote the Jacobian matrix of /and let H(x) = (J+J*)/2 be the symmetric part of J(x). One of the results of [2] is to the effect that if (1.2) /(0) = 0 and (1.3) H(x) is negative definite (for fixed x ^ 0), then x = 0 is a globally asymptotically stable solution of (1.1); i.e., every solution x ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1991
ISSN: 0022-0396
DOI: 10.1016/0022-0396(91)90143-w