Timeline for Point Spectrum of a Second Order System of Differential Equations
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 8, 2015 at 0:12 | comment | added | Christian Remling | @k3thomps: It all depends on the details (for example think of the case $V$ diagonal), your question is really much too general in this form to admit specific answers (even in the case $V_{\infty}=0$). | |
| Aug 7, 2015 at 22:27 | comment | added | k3thomps | Suppose that $V_\infty$ has 4 distinct eigenvalues: $\pm \mu \neq 0$ and $\pm \nu \neq 0$. | |
| Aug 7, 2015 at 21:32 | comment | added | Igor Khavkine | What do you know about the Jordan structure of $V_\infty$ in your problem? | |
| Aug 7, 2015 at 18:13 | comment | added | k3thomps | Thanks for replying. I understand the multiplicity is either 1 or 2, but how does one go about actually determining whether it is 1 or 2? Do you know of any non-trivial examples where they determine the multiplicity? If so, what do they do? | |
| Aug 7, 2015 at 17:58 | comment | added | Christian Remling | The multiplicity is $1$ or $2$, but you have to analyze this case-by-case, there's nothing you can say in this generality. | |
| Aug 7, 2015 at 17:31 | history | edited | k3thomps |
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| Aug 7, 2015 at 15:48 | history | asked | k3thomps | CC BY-SA 3.0 |