In this paper we examine the controllability problems of certain evolution equations with nonlocal conditions. Using the Schaefer fixed-point theorem, we obtain sufficient conditions for controllability and we give an...In this paper we examine the controllability problems of certain evolution equations with nonlocal conditions. Using the Schaefer fixed-point theorem, we obtain sufficient conditions for controllability and we give an application.展开更多
In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured pop- ulation dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local ...In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured pop- ulation dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local stability and asynchrony respectively for the considered population system under some conditions. We use for our discussion the techniques of operator matrices, Hille-Yosida operators, positivity, spectral analysis as well as Perron-Frobenius theory.展开更多
In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite delay.Sufficient conditions for approximate controllability are established by constructing fund...In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite delay.Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators.To illustrate the applications of the obtained results,an example is provided in the end.展开更多
文摘In this paper we examine the controllability problems of certain evolution equations with nonlocal conditions. Using the Schaefer fixed-point theorem, we obtain sufficient conditions for controllability and we give an application.
基金Supported by the National Natural Science Foundation of China(No.11671142 and 11371087)STCSM(No.13dz2260400)Shanghai Leading Academic Discipline Pro ject(No.B407)
文摘In this paper we devote ourselves to the study of the asymptotic behavior of a size-structured pop- ulation dynamics with random diffusion and delayed birth process. Within a semigroup framework, we discuss the local stability and asynchrony respectively for the considered population system under some conditions. We use for our discussion the techniques of operator matrices, Hille-Yosida operators, positivity, spectral analysis as well as Perron-Frobenius theory.
基金by National Science Foundation of China(Nos.11671142 and 11771075)Science and Technology Commission of Shanghai Municipality(STCSM)(grant No.18dz2271000).
文摘In this work,we study the approximate controllability for a class of semilinear second-order control systems with finite delay.Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators.To illustrate the applications of the obtained results,an example is provided in the end.
