On a theorem of Hartman and Wintner

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Hartman-Grobman Theorem

The Hartman–Grobman Theorem (see [3, page 353]) was proved by Philip Hartman in 1960 [5]. It had been announced byGrobman in 1959 [1], likely unbeknownst to Hartman, and Grobmanpublished his proof in 1962 [2], likely without knowing of Hartman’s work. (Grobman attributes the question to Nemycki and an earlier partial result to R.M. Minc (citing Nauč. Dokl. Vysš. Školy. Fiz.-Mat. Nauki 1 (1958))...

متن کامل

Uniformity in the Polynomial Wiener-wintner Theorem

exists for every α ∈ R, where e(t) = e. What makes this a nontrivial strengthening of the Birkhoff ergodic theorem is that the set of full measure for which we have convergence does not depend on the choice of α ∈ R. Two different proofs of this theorem are based on the following results which are of interest on their own: (i) For ergodic systems, if f ∈ L(μ) and f ∈ E1(T ) , then for a.e. x ∈ ...

متن کامل

Hartman-wintner Type Criteria for Half-linear Second Order Differential Equations

We establish Hartman-Wintner type criteria for the half-linear second order differential equation ( r(t)Φ(x′) )′ + c(t)Φ(x) = 0, Φ(x) = |x|x, p > 1, where this equation is viewed as a perturbation of another equation of the same form.

متن کامل

Infinitesimal Hartman-Grobman Theorem in Dimension Three.

In this paper we give the main ideas to show that a real analytic vector field in R3 with a singular point at the origin is locally topologically equivalent to its principal part defined through Newton polyhedra under non-degeneracy conditions.

متن کامل

Extensions of a Theorem of Wintner on Systems with Asymptotically Constant Solutions

A theorem of Wintner concerning sufficient conditions for a system y' = A(t)y to have linear asymptotic equilibrium is extended to a system x' = A(t)x + f(t, x). The integrability conditions imposed on / permit conditional convergence of some of the improper integrals that occur. The results improve on Wintner's even if / = 0. An n X n system (1) y' = A(t)y, t>0, is said to have linear asymptot...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1995

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1995-1260175-x