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Lipschitzian and Caratheodory Systems
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analogously analytic assume asymptotic stability behavior belonging bounded boundedness characteristic exponents class C1 Consequently consider continuous corresponding defined denote differential equations equivalent example exists finite number focus following theorem function given holomorphic homogeneous polynomials homogeneous system hypotheses ibid inequality integral curve interval invariant ray isolated singular point J. E. Littlewood J. L. Massera L. E. J. Brouwer least Lemma Levinson limit cycle linear system Lipschitzian Lyapunov Math matrix Nauk neighborhood nonlinear oscillations periodic solutions phase plane plane point at infinity point Q polynomials positive proof prove reduced system respect roots Russian saddle point Sansone satisfies the condition sector separatrices sin0 solution x(t sufficient condition sufficiently small Suppose system x tangent theory tion trajectories tending transformation type numbers uniformly stable uniqueness unstable valid whence zero