相关期刊:《Journal of Mathematical Research with Applications》《Science China Mathematics》《Wuhan University Journal of Natural Sciences》《Acta Mathematica Scientia》更多>>
Supported by the National Natural Science Foundation of China(12201446);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(22KJB110005);the Shuangchuang Program of Jiangsu Province(JSSCBS20220898)。
It is known that monotone recurrence relations can induce a class of twist homeomorphisms on the high-dimensional cylinder,which is an extension of the class of monotone twist maps on the annulus or two-dimensional cy...
partially supported by the Young Scientist Program of the Ministry of Science and Technology of China(2021YFA1002200);supported by National Natural Science Foundation of China(12101226);partially supported by the National Natural Science Foundation of China(12101362);supported by Shandong Provincial Natural Science Foundation(ZR2021QA032)。
Let X be a Jordan domain satisfying certain hyperbolic growth conditions.Assume that φ is a homeomorphism from the boundary ?X of X onto the unit circle.Denote by h the harmonic diffeomorphic extension of φ from X o...
Supported by NNSF of China(Grant Nos.11861010,11761012);NSF for Distinguished Young Scholar of Guangxi Province(Grant No.2018GXNSFFA281008);supported by the Cultivation Plan of Thousands of Young Backbone Teachers in Higher Education Institutions of Guangxi Province;Program for Innovative Team of Guangxi University of Finance and Economics;Project of Guangxi Key Laboratory Cultivation Base of Cross-border E-commerce Intelligent Information Processing(Grant No.201801ZZ03)。
In this paper,we investigate the topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces.We introduce the concept of topological stability for homeomorphisms on compact uniform spa...
The first author is supported by National Natural Science Foundation of China(Grant No.11471271);the second author is supported by the Foundation of Hubei Provincial Department of Education(Grant No.Q20161602)
Assume that the unit spheres of Banach spaces X and Y are uniformly homeomorphic.Then we prove that all unit spheres of the Lebesgue–Bochner function spaces Lp(μ, X) and Lq(μ, Y)are mutually uniformly homeomorphic ...
Supported by the National Natural Science Foundation of China(Grant Nos.11301367;61472469;11461005);the Doctoral Fund of Ministry of Education of China(Grant No.20123201120001)
Let f be a homeomorphism of a compact tvs-cone metric space. In this paper,we show that f is tvs-cone expansive if and only if f has a generator. Further, it is proved that if f is tvs-cone expansive, then the set of ...
supported by National Natural Science Foundation of China(Grant Nos.11401432 and11571172);the second author is supported by National Natural Science Foundation of China(Grant No.11371035)
In this paper,we try to describe the relationship between the differentiability of a quasisymmetric homeomorphism and the local Hausdorff dimension of the quasiline at a point.
The first author is supported by the Special Foundation of National Prior Basis Research of China(Grant No.G1999075108);the second author is supported by National Natural Science Foundation of China(11171320 and 11431012).
In this paper we give a new and elementary proof to the following fact:each closed orientable surface of positive genus admits a both chaotic and expansive homeomorphism.Further more,we show that the homeomorphisms gi...
Supported by NSFC(Grant No.11201364);"the Fundamental Research Funds for the Central Universities"
Let M be a compact connected orientable Seifert manifold with hyperbolic orbifold BM, and fπ : π1 (M)→π1 (M) be an automorphism induced by an orientation-reversing homeomorphism f of M. We give a bound on the...
We give a direct proof of a result of Earle, Gardiner and Lakic, that is, Kobayashi's metric and Teichmuller's metric coincide with each other on the Teichmfiller space of symmetric circle homeomorphisms.
Project supported by National Basic Research Program of China (973 Program,No.2007CB814901);National Natural Science Foundation of China (No.10826098);Anhui Natural Science Foundation (No.090416225);Anhui Natural Science Foundation of Universities
In this paper, a class of stochastic differential equations (SDEs) driven by semi-martingale with non-Lipschitz coefficients is studied. We investigate the dependence of solutions to SDEs on the initial value. To obta...