supported by the National Natural Science Foundation of China(Nos.11171110,11371087);the Science and Technology Commission of Shanghai Municipality(No.13dz2260400);the Shanghai Leading Academic Discipline Project(No.B407)
This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that t...
Supported by Shanghai Leading Academic Discipline Project(Grant No.B407);National Natural Science Foundation of China(Grant No.11171109)
A real continuous function which is defined on an interval is said to beA-convex if it is convex on the set of self-adjoint elements,with spectra in the interval,in all matrix algebras of the unital C-algebra A.We giv...
supported by NSF of China (11171110);Shanghai Leading Academic Discipline Project (B407)
In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonloc...
Supported by the National Natural Science Foundation of China (Grant Nos. 10871069; 11261038);Shanghai Leading Academic Discipline Project (Grant No. B407)
In this paper, we study gradient estimates for the nonlinear heat equation ut-△u = au log u, on compact Riemannian manifold with or without boundary. We get a Hamilton type gradient estimate for the positive smooth s...