Project supported by the National Natural Science Foundation of China(Nos.12172340 and12411530068);the Shenzhen Science and Technology Program(No.JCYJ20240813114012016);the High-Level Talent Introduction Plan of Guangzhou City;the Fundamental Research Funds for the Central Universities-China University of Geosciences(Wuhan)(No.G1323524005);the Young Top-Notch Talent Cultivation Program of Hubei Province。
Hydro-pneumatic near-zero frequency(NZF)vibration isolators have better performance at isolating vibration with low frequencies and heavy loadings when the nonlinear fluidic damping is introduced and the pressurized g...
supported by the National Basic Research Program of China(973 Program)(No.2015CB057400);the National Natural Science Foundation of China(No.11602070);the China Postdoctoral Science Foundation(No.2016M590277)
A method for seeking main bifurcation parameters of a class of nonlinear dynamical systems is proposed. The method is based on the effects of parametric varia- tion of dynamical systems on eigenvalues of the Frechet m...
Project supported by the National Natural Science Foundation of China(No.11472067)
In this paper, the shallow water problem is discussed. By treating the incompressible condition as the constraint, a constrained Hamilton variational principle is presented for the shallow water problem. Based on the ...
supported by the National Natural Science Foundation of China (Nos. 11071075 and 11171113);the E-Institute of Shanghai Municipal Education Commission (No. E03004);the Knowledge Innovation Program of the Chinese Academy of Sciences (Nos. 30921064 and 90820307)
The step-like contrast structure for a class of nonlinear singularly perturbed optimal control problems is considered. The existence of the step-like contrast structure for the singularly perturbed optimal control pro...
Project supported by the National Natural Science Foundation of China (No. 40876010);the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (No. KZCX2-YW-Q03-08);the Research and Development Special Fund for Public Welfare Industry (meteorol-ogy) (No. GYHY200806010);the LASG State Key Laboratory Special Fund;the Foundation of E-Institutes of Shanghai Municipal Education Commission (No. E03004);the Natural Science Foundation of Zhejiang Province (No. Y6090164)
A class of boundary value problems for a third-order differential equation with a turning point is considered. Using the method of multiple scales and others, the uniformly valid asymptotic expansion of solution for t...
supported by the Fundamental Research Funds for the Central Universities, South China University of Technology (No.2009ZM0050);the Research Foundation for the Doctoral Program of Higher Education of China (No. 20070561040);the Natural Science Foundation of Guangdong Province of China (No.07300823)
A class of time fractional partial differential equations is considered, which in- cludes a time fractional diffusion equation, a time fractional reaction-diffusion equation, a time fractional advection-diffusion equa...
supported by the National Natural Science Foundation of China (Nos.40676016 and 40876010);the Knowledge Innovation Program of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);the LASG State Key Laboratory Special Fund,and the E-Institute of Shanghai Municipal Education Commission (No.E03004)
A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existe...
The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonline...
supported by the Mathematical Tianyuan Foundation (No. 10826078);the National Natural Science Foundation of China (No. 60874006)
This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of nonlinear systems with discontinuous right-hand sides in the sense of the F...
supported by the National Natural Science Foundation of China (No.10671210);the Foundation of Jiangsu Education Commission (No.07KJD110166);the Postdoctoral Research Foundation of Jiangsu Province (No.0702004C);the Project of Nantong University (Nos.06Z011,08B02)
This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters an...