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Multiplicity of Periodic Bouncing Solutions for Sublinear Damped Variation Systems via Nonsmooth Variational Methods
《Acta Mathematica Sinica,English Series》2023年第7期1332-1350,共19页Si Qi WANG Fei GUO 
Supported by the National Natural Science Foundation of China (Grant No. 12171355);Elite Scholar Program in Tianjin University,P. R. China。
Two results about the multiplicity of nontrivial periodic bouncing solutions for sublinear damped vibration systems-x=g(t)x+f(t,x) are obtained via the Generalized Nonsmooth Saddle Point Theorem and a technique establ...
关键词：Damped vibration systems generalized Nonsmooth Saddle Point Theorem sublinear conditions periodic bouncing solutions MULTIPLICITY 
Multi-dimensional Central Limit Theorems and Laws of Large Numbers under Sublinear Expectations被引量：4
《Acta Mathematica Sinica,English Series》2015年第2期305-318,共14页Ze Chun HU Ling ZHOU 
Supported by NNSFC(Grant No.11371191);Jiangsu Province Basic Research Program(Natural Science Foundation)(Grant No.BK2012720)
In this paper, we present some multi-dimensional central limit theorems and laws of large numbers under sublinear expectations, which extend some previous results.
关键词：Central limit theorem law of large numbers sublinear expectation 
Local Lipschitz-α Mappings and Applications to Sublinear Expectations
《Acta Mathematica Sinica,English Series》2014年第5期844-860,共17页Huai Xin CAO Jun Cheng YIN Zhi Hua GUO Zheng Li CHEN 
Supported by National Natural Science Foundation of China(Grant Nos.11171197,11371012);the Fundamental Research Funds for the Central Universities(Grant No.GK201301007)
The aim of this paper is to establish a series of important properties of local Lipschitz-α mappings from a subset of a normed space into a normed space. These mappings include Lipschitz operators, Lipschitz-α opera...
关键词：Local Lipschitz-α mapping random variable sublinear expectation 
The Risk Transfer of Non-tradable Risks under Model Uncertainty
《Acta Mathematica Sinica,English Series》2012年第8期1597-1614,共18页Yu Lian FAN 
Supported by Beijing Natural Science Foundation(Grant No.1112009)
In the context of model uncertainty, we study the optimal design and the pricing of financial instruments aiming to hedge some of non-tradable risks. For the existence of model uncertainty, the preference can be repre...
关键词：Model uncertainty sublinear expectation indifference pricing risk measure 
The Existence Theorems for a Class of Sublinear Elliptic Equations in R^N被引量：2
《Acta Mathematica Sinica,English Series》1997年第3期295-304,共10页Wu Shaoping Yang Haitao (Department of Mathematics,Zhejiang University,Hangzhou 310027,China) 
This research is supported by N.N.S.F.C.and Z.N.S.F.
An existence theorem for the solution to the equation -△u+b(x)u=f(x,u),in R^N is given by means of variational method where b(x)→∞,as丨x丨→∞ and f(x,s)has linear growth in s at infinity and sublinear growth in s ...
关键词：Sublinear elliptic equation Critical point theory COMPACTNESS 
Existence and Uniqueness of Positive Solutions to Sublinear-Linear Initial Value Problems
《Acta Mathematica Sinica,English Series》1994年第1期19-29,共11页Yang Enhao Department of Mathematics Jinan University Guangzhou,510275 China 
Existence and uniqueness conditions for nonnegative solutions to initial value prob- lems of general sublinear-linear differential equations are obtained.They extend the uniqueness theorem due to H.Murakami~[6] and th...
关键词：Existence and Uniqueness of Positive Solutions to Sublinear-Linear Initial Value Problems MATH 
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