This paper is supported by the National Natural Science Foundation of China(Nos.11701063,11901075);the Project funded by China Postdoctoral Science Foundation(Nos.2019M651091,2019M661073);the Fundamental Research Funds for the Central Universities(Nos.3132021193,3132021199);the Natural Science Foundation of Liaoning Province in China(Doctoral Startup Foundation of Liaoning Province in China(Nos.2020-BS-074);Dalian Youth Science and Technology Star(No.2020RQ047);Huzhou Science and Technology Plan(No.2016GY03);Key Research and Development Projects of Shandong Province(No.2019GGX104089);the Natural Science Foundation of Shandong Province(No.ZR2019BA014).
In this paper we study optimization problems involving convex nonlinear semidefinite programming(CSDP).Here we convert CSDP into eigenvalue problem by exact penalty function,and apply the U-Lagrangian theory to the fu...
The National Natural Science Foundation of China(No. 11071038);the Natural Science Foundation of Jiangsu Province(No. BK2010420)
By the iteration of the KAM, the following second- order differential equation ( Фp (x′))′ + F(x, x′, t) + ω^PФp (x′) +α│x│^l +e(x, t) =0 is studied, where Фp(S) = │S│^p-2s, p 〉 1, α〉 0...
supported by the China Postdoctoral Science Foundation (Grant No.20070420643);the National Natural Science Foundation of China (Grant No.60774059);the Innovation Program of the Shanghai Municipal Science and Technology Commission (Grant No.08DZ2272400)
This paper proposes a global stabilization method for a class of planar switched systems with input saturation constrains by using a state feedback and switching strategy. This method is proved to be effective by anal...
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...
the Foundation of Binzhou University (BZXYQMG200622);the Foundation of Educational Department of Shandong Province (J07WH01)
This paper discusses the oscillation of second-order nonlinear differential equations with impulses. Sufficient conditions for all solutions of the equation to be oscillated are obtained.
Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop ...
In this paper, we apply a critical point theorem and obtain the condition for the existence of three solutions to two-point boundary value problem of a second order nonlinear difference equation.
A class of second-order two-point boundary value problem on a measure chain was considered. Under some suitable conditions, by using the Leggett-Williams fixed point theorem in an appropriate cone, the existence of at...
In this paper we discuss the anti-periodic problem for a class of abstractnonlinear second-order evolution equations associated with maximal monotone operators in Hilbertspaces and give some new assumptions on operato...
A class of nonlinear boundary value problems(BVP) for the second_order E 2 class elliptic systems in general form is discussed. By introducing a kind of transformation,this kind of BVP is reduced to a class of genera...