|
|
| |
| TYPE K MONOTONE SYSTEMS WITH AN ORDER-INCREASING INVARIANT FUNCTION |
| |
Citation： |
Jiang Jifa.TYPE K MONOTONE SYSTEMS WITH AN ORDER-INCREASING INVARIANT FUNCTION[J].Chinese Annals of Mathematics B,1996,17(3):335~342 |
| Page view： 0
Net amount： 824 |
Authors： |
Jiang Jifa; |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
|
|
| Abstract： |
The author considers the asymptotic behavior of solutions of a
class of ordinary differential equations $\dot x=F(x)$ in the
nonnegative orthant $\R_+^n.$ Suppose that $F(0)=0, \ F_i(x_1,
\cdots, x_n)$ is nondecreasing in $x_k$ for all $k\not= i$ and
that $F$ possesses an order-increasing invariant function. Then
it is shown that every bounded solution to such a system
converges to a single equilibrium. |
Keywords： |
Type $K$ monotone system, Monotone flow,
Invariant function, Equilibrium, Convergence |
Classification： |
34C11, 92A15 |
|
|
Download PDF Full-Text
|
|
|
|
