Lyapunov Stability and t0

dimvssometimes

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Hello. I have problems with proof of fact that Lyapunov stability of solution of ODE system does not depend on t0. Could anyone help me with this?
 
Hello. I have problems with proof of fact that Lyapunov stability of solution of ODE system does not depend on t0. Could anyone help me with this?
Stability of a solution, by definition, means that a slight perturbation in initial condition will NOT affect the solution (unlike fractals).

Please post a "particular" problem.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.
 
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