Math 224-01: Differential Equations: Reading Homework 2.3
- Sensitivity : what does sensitivity mean? how is this related to controlling a system?
- Parameters : how are parameters related to the behavior of a system? how does the book suggest coaxing a numerical solver into analyzing the effect of changing a parameter in an ODE?
- Point : if the forcing q(t) is bounded, can a linear first-order IVP have a solution that blows up?
- Limits on Response : the book introduces the differential equations y'+p(t) y = q(t) and Z' + p(t) Z = m(t); what is the difference between the two? what deviation are we trying to estimate? what differential equation does it satisfy?
- A Fundamental Theorem : what is the conclusion of our sensitivity analysis for linear IVPs?
- Point : what is ``continuity in the data''?
- Point : what is a ``well posed'' IVP?
Math 224-01: Differential Equations: Reading Homework 2.3
Last Modified: Wed Feb 16 09:27:35 2000
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