Timeline for Minimizing a function containing an integral
Current License: CC BY-SA 2.5
14 events
| when toggle format | what | by | license | comment | |
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| Jul 23, 2010 at 20:06 | answer | added | Gilead | timeline score: 0 | |
| Feb 15, 2010 at 1:05 | vote | accept | Legend | ||
| Feb 13, 2010 at 14:39 | answer | added | Harald Hanche-Olsen | timeline score: 1 | |
| Feb 12, 2010 at 23:47 | comment | added | Legend | Also, I am sorry. I just realized I missed something from the question. Updated it with a second differential equation (but I'm not sure how relevant it is to the overall methodology that I was following). | |
| Feb 12, 2010 at 23:46 | history | edited | Legend | CC BY-SA 2.5 |
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| Feb 12, 2010 at 23:43 | comment | added | Legend | @Steve: Yes... You are right (but I hate to accept this, because pretty much everything boils down ultimately to physics... Pardon me if I've mistaken). It is more from a problem I am seeing inside the domain of social networks, more specifically, the propagation of a message amongst a set of connected nodes. | |
| Feb 12, 2010 at 23:39 | comment | added | Steve Huntsman | It doesn't look like the E-L equations have a solution for $A \ne 0$, and they're trivially satisfied if $A = 0$. This motivates the following Conjecture: your problem does not originate from physics. | |
| Feb 12, 2010 at 23:33 | history | edited | Steve Huntsman |
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| Feb 12, 2010 at 23:33 | comment | added | Legend | @Steve: Currently looking into it.. Thanks. @Leonid: Yes.. All those are positive. | |
| Feb 12, 2010 at 23:28 | comment | added | Steve Huntsman | Maybe I'm misunderstanding your question, but I think you just need to solve the Euler-Lagrange equations ( en.wikipedia.org/wiki/Euler%E2%80%93Lagrange_equation ) for the Lagrangian $\mathcal{L}(t,R,\dot R) = AR -\frac{1}{a}(\frac{\dot R}{R} + b)$. Also see calculus of variations: en.wikipedia.org/wiki/Calculus_of_variations | |
| Feb 12, 2010 at 23:20 | history | edited | Legend | CC BY-SA 2.5 |
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| Feb 12, 2010 at 23:08 | history | edited | Legend | CC BY-SA 2.5 |
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| Feb 12, 2010 at 23:07 | comment | added | Legend | Sorry... A is another parameter. I will clarify this in the question. And no, I meant (AR-x) inside the integral. | |
| Feb 12, 2010 at 22:54 | history | asked | Legend | CC BY-SA 2.5 |