1、The strong boundedness,boundedness, continuous of the operator T;

2、As special cases, we obtain the boundedness of fractional operators.

3、In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.

4、Strict boundedness is the kind of boundedness that gives us some information about the rate of decay of the solution.

5、Some boundedness theorems are given, and some simple atomic decompositions are also proved.

6、For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.

7、Discuss a growth model of Isochrysis galbana, obtain sufficient condition for boundedness, limiting quality, stability and bifurcation.

8、By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.

9、Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition.

10、With boundedness, exclusive, availability, severability, assignable characterization, and property rights play a key role in the market to ensure the principal status of Chinese farmers in the market.

11、The study of bounded quadratic differential systems is very important for its qualitative behavior. However, the results on boundedness of quadratic differential systems have not been completed yet.

12、Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.

13、The model inversion is under the hover condition. And the adaptive control law based on the neural network is designed to guarantee the boundedness of tracking error and control signals.