Timeline for Existence and uniqueness of an Euler-type ODE with varying parameters
Current License: CC BY-SA 4.0
6 events
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| Aug 24, 2021 at 15:49 | comment | added | Iosif Pinelis | @Laithy : The amended equation can still be solved more or less explicitly, with the expression of the solution involving an integral of an integrand expressed in terms of Legendre functions. However, this expression of the solution seems to be much harder to analyze. It may be better to post the amended equation separately. | |
| Aug 24, 2021 at 15:00 | comment | added | Laithy | Thank you so much for your answer! I actually wrote the equations incorrectly. I should have allowed for the right side to decay to 0. I think now one can prove existence. But we cannot make use of Legendre polynomials anymore. Do you have any idea how to approach this (new) problem? I edited the original post. | |
| Aug 24, 2021 at 4:06 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Aug 24, 2021 at 3:52 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Aug 23, 2021 at 23:46 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Aug 23, 2021 at 21:33 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |