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visits member for 2 years, 5 months
seen Oct 13 at 22:25

Dec
5
comment Differential equation, Stability , Lyapunov function
How about the possiblity if the solution only trace the first octan? In this octan, z'=xy>0 so z always increasing. What make you sure that the solution trace along all quadrant of domain
Dec
4
accepted Space of bounded functions is reflexive if the domain is finite
Dec
4
accepted Showing that $(X^*)^{**}=(X^{**})^{*}$, where $X$ is a Banach space
Dec
3
awarded  Citizen Patrol
Dec
3
asked Space of bounded functions is reflexive if the domain is finite
Dec
3
comment Showing that $(X^*)^{**}=(X^{**})^{*}$, where $X$ is a Banach space
No. I find the question from exercise of conway book
Dec
3
asked Showing that $(X^*)^{**}=(X^{**})^{*}$, where $X$ is a Banach space
Nov
30
comment Strictly convex Inequality in $l^p$
If the vectors is multiple of the other by scalar implies the equality is trivial. How about the converse?
Nov
30
asked Strictly convex Inequality in $l^p$
Nov
24
comment Differential equation, Stability , Lyapunov function
I just took the definition from Hirsch and Smale's Book. And it say like that. $dV/dt<0$ for asymptotically stable and $dV/dt\leq 0$ for stable one. You can check the book now.
Nov
24
comment Differential equation, Stability , Lyapunov function
In Lyapunov theorem, if $dV/dt<0$ then the equilibrium is asymptotically stable and $dV/dt\leq 0$ then the equilibrium is stable (An equilibrium point $x_0$ is stable iff for every neighboorhood $U$ of $x_0$ there is a neighboorhood $U_1$ of $x_0$ in $U$ such that every solution $r(t)$ with $r(0)$ in $U_1$ is defined and in $U$ for all $t>0$)
Nov
24
asked Differential equation, Stability , Lyapunov function
Nov
19
accepted Surjective map from quotient space of Banach Space that satisfy certain condition
Nov
18
comment Surjective map from quotient space of Banach Space that satisfy certain condition
@martini: Is that projection surjective? Could you give me the surjective one?
Nov
18
accepted Norm of Hilbert matrix inequality
Nov
18
awarded  Disciplined
Nov
18
accepted Weak Convergence implies boundedness and componentwise convergence
Nov
18
revised Surjective map from quotient space of Banach Space that satisfy certain condition
added 67 characters in body
Nov
18
asked Surjective map from quotient space of Banach Space that satisfy certain condition
Nov
17
awarded  Benefactor