supported by the National Natural Science Foundation of China(12071491,12001113)。
In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existe...
The first author was supported by the National Natural Science Foundation of China(11761036,11201196);the Natural Science Foundation of Jiangxi Province(20171BAB211002);The second author was supported by the National Natural Science Foundation of China(11790271,12171108);the Guangdong Basic and Applied basic Research Foundation(2020A1515011019);the Innovation and Development Project of Guangzhou University;the Nankai Zhide Foundation。
In this paper,we study the existence of infinitely many homoclinic solutions for a class of first order Hamiltonian systems ż=J H_(z)(t,z),where the Hamiltonian function H possesses the form H(t,z)=1/2L(t)z⋅z+G(t,z),a...
Supported by National Natural Science Foundation of China(11871257,12071130)。
In this paper,we first establish the sharp growth theorem and the distortion theorem of the Frechet derivative for biholomorphic mappings defined on the unit ball of complex Banach spaces and the unit polydisk in C^(n...
Supported by NSF of China(11971356);NSF of Zhejiang Province(LY17A010011)。
This article investigates Gevrey class regularity for the global attractor of an incompressible non-Newtonian fluid in a two-dimensional domain with a periodic boundary condition.This Gevrey class regularity reveals t...
The first author is partially supported by the Postdoctoral Science Foundation of China(2019TQ0006);the second author is partially supported by the National Natural Science Foundation of China(11726023,11531010).
We study the regularity of weak solutions to a class of second order parabolic system under only the assumption of continuous coefficients.We prove that the weak solution u to such system is locally Holder continuous ...
supported by National Natural Science Foundation of China(11971147);China Postdoctoral Science Foundation(2019M662475);Henan Postdoctoral Research Grant(201902026).
In this paper,we construct sign-changing radial solutions for a class of Schrodinger equations with saturable nonlinearity which arises from several models in mathematical physics.More precisely,for any given nonnegat...
supported by the Key Laboratory of Applied Mathematics in Hubei Province,China;supported by MNZZS(ON174017,Serbia)
Let A denote the family of all analytic functions f(z) in the unit disk D={z ∈C:|z|<1}, normalized by the conditions f(0) = 0 and f'(0) = 1. Let U denote the set of all functions f ∈ A satisfying the condition |(z/f...
In this article, we investigates finite-time H∞ control problem of Markovian jumping neural networks of neutral type with distributed time varying delays. The mathematical model of the Markovian jumping neural networ...
supported by the National Natural Science Foundation of China(11626091);Youth Science Fund of Henan Normal University(2015QK01);a doctoral scientific research foundation of Henan Normal University(5101019170130)
In this article, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We determine all of Douglas general (α, β)-metrics on a manifold...