Supported by the National Natural Science Foundation of China(Grant No.11761046);Natural Science Foundation of Gansu Province(Grant No.20JR5RA411).
An existence criterion of triple positive solutions to a third-order m-point boundary value problem{v″′(s)+λh(s)f(s,v(s),v′(s))=0,s∈(0,1),v(0)=v″(0)=0,v′(1)=∑m-i=1kiv(ηi),is established by Avery-Peterson fixe...
A class B of complex functions is introduced and several existence theorems of unique(common) fixed points for mappings satisfying a B-implicit contraction are presented.Moreover, the existence results of common fixed...
In ordinary differential equations, structural stability of hyperbolic fixed points is a classical result, but the proof of this result in [2] has same small mistake. In this paper,we will correct the above mistake by...
Supported by the Graduate Initial Fund of Hubei Normal University(2008D36);Supported by the Foundation of Education Ministry of Hubei Province(D20102502)
In this paper, we consider a notion of contractive mappings with certain conditions in cone metric spaces and obtain some results of fixed points by using some necessary conditions. The results directly improve and ge...
In this paper, we investigate the growth and the fixed points of solutions and their 1st, 2nd derivatives of second order non-homogeneous linear differential equation and obtain the estimation of the order and the exp...
Supported by the NNSF of China(11171135);Supported by the Jiangsu Province Innovation Project of Graduate Education(1221190037)
In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost period...
Foundation item: Supported by the PhD Start-up Fund of the Natural Science Foundation of Guangdong Province(S2011040000464); Supported by the Project of Department of Education of Guangdong Province(2012KJCX0074); Supported by the Natural Fund of Zhanjiang Normal University(LZL1101); Supported by the Doctoral Project of Zhanjiang Normal University(ZL1101) Acknowledgment The authors are grateful to Dr Shengfu Deng for his helpful discussion and suggestion.
In this paper, we consider a second order multivalued iterative equation with variable coefficients and the results on increasing solution and decreasing solution are obtained.
Foundation item: Supported by the Natural Science Foundation of Guizhou Province(J2011]2093)
In this paper, we present a new fixed point theorem in L-convex spaces and apply it to obtain a maximal element theorem, a variational inequality and a saddle point theorem in L-convex spaces.
Supported by the NNSF of China(10871052, 109010600);Supported by the NSF of Guangdong Province(10151009001000032)
In this paper, the author studies the following nonlinear dynamic equation {x△(t) = r(t)x(σ(t)) + f(t, x(σ(t))), t ∈ [0, T ], x(0) = x(σ(T )). By applying and improving the generalized form of Leggett-Williams fi...
Supported by the Science Foundation of Education Committee of Jilin Province (20111434])
We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applicat...