Perfect adaptation describes the ability of a biological system to restore its biological function precisely to the pre-perturbation level after being affected by the environmental disturbances.Mathematically,a biolog...
supported by the National Natural Science Foundation of China under Grant No.11371321;the Key Research Base for Humanities and Social Sciences of Zhejiang Provincial High Education Talents(Statistics of Zhejiang Gongshang University)
This paper considers the dividend problems in the perturbed compound Poisson risk model.Assume that dividends can only be paid at the observation time when the surplus exceeds the barrier level and the excess is paid ...
supported by the National Natural Science Foundation of China under Grant Nos.71471070,61473125,71171091,11422110,and 11301198
This paper considers a given neutral functional system under regime switching whose solution grows at most polynomially.Can the system tolerate Brownian noise and colour noise to preserve the polynomial growth if the ...
supported by the National Natural Science Foundation of China under Grant No.11171179;the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20093705110002
This paper studies the complete monotonicity of the probability of ruin in the the classical risk model and the classical risk model that is perturbed by a diffusion. As a byproduct, the authors give an alternative p...
This research is supported by the National Science Foundation of China under Grant Nos. 10671166 and 60673101.
This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial mul...
The research is supported by the National Natural Science Foundation of China under Grant No.90111011 and No.10471039;the National Key Project for Basics Research under Grant No.2004CB418304;the Key Project of the Chinese Academy of Sciences under Grant No.KZCX3-SW-221;in part hy E-Institutes of Shanghai Municipal Education Commission under Grant No.E03004.
A coupled system of sea-air oscillator model is studied. Using the perturbed theory, the approximations of the solution for the sea-air oscillator model are obtained.
This work is supported by the National Natural Science Foundation of China (No 90211004 and 10471039)the Natural Science Foundatuon of Zhejiang Province (No 102009).
A class of coupled system of the El Nino/La Nino-Southern Oscillation (ENSO)mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSOmodel are obtained and the asymptotic beh...
This research is partially supported by Key Laboratory of Management, Decision and Information Systems,CAS and National Science Foundations of China.
This paper presents sensitivity analysis for parameterized variational inequality problems (VIP). Under appropriate assumption, it is shown that the perturbed solution to parameterized VIP is existent, unique, continu...
In this paper, the stabilization problem of Timoshenko beam by some nonlinear boundary feedback controls is considered. By virtue of nonlinear semigroup theory and energy-perturbed method, it is shown that the vibrati...