We study bi-Lyapunov stable homoclinic classes for a C1 generic flow on a closed Rieman-nian manifold and prove that such a homoclinic class contains no singula
For 1≤p<∞we introduce a notion of“p-mean oscillation”on Cnin terms of the q metric induced by reproducing kernel of Fψ2.It is shown that the densely-defined Hankel operators Hf,Hf:Fψp→Fψ
In this paper,we consider the existence of analytic invariant curves of an iterative equation f(f(x)) =xea-x-f(x)which arises from Ricker-type second-order equa
In the paper,we study derivative estimates of the iterated spherical averages(At)N(f).We obtain the optimal range of exponents(α,N,p)to ensure the Lpboundedness of P(■/■x)(A1)N(f)for 1≤p≤∞,where P is a homogeneous polynomi
The paper studies Sard's problem on construction of optimal quadrature formulas in the space W2(m,0) by Sobolev's method.This problem consists of two parts:firs