The semantic properties of gerunds are "bounded" and "unbounded".

The topological structure at the equator of a class of bounded cubic Kolmogorov type systems;

Sufficient conditions were given to guarantee that the non-oscillatory solutions can tend to bounded or zero.

For a class of nonlinear continuous time systems =f(x)+Bu+d, when the nonlinear function f(x) is bounded or satisfies linear growth condition with unknown growth coefficient, we first prove that x falls into a compact set, then two adaptive regulators are proposed based on the approximation capability of radial basis function networks or fuzzy systems.

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

The strong boundedness、boundedness、continuous of the operator T in F~*-space;

At last, the boundedness of solution is considered by employing the frequency domain m.

The paper obtains the result of the high mode boundary properties of induced form under wavelet basis in weakly damped forced KdV equation.

The essay is a summary concerning how to demonstrate the two prerequisites monotone and bounds in "mono tonous and boundary number line necessarily converge.

On the Boundness of the Solution to Some Functional Differential Delay Equations;

Some criteria for the asymptotic behavior(such as boundness and tending to zero)of the solution of the equation L_nX(T)+sum from j=0 to m( )b_j(t)f_j(X(t-τ_i(t)))=P(t)are established(here L_n*=1/P_n(t)d/dt1/P_(n-1)(t)…d/dt1/p_1(t)d/dt*/p_0(t))≠0(j=0,…m

Using the theorem on discrete semi-dynamicl system and the stability results on monotonous and continuous operator,we obtained the sufficent conditions for uniform boundness,strong and weak persistence and permanence of a discrete system with age-structure subdivided into young and adult population approximately.