A MIXED PROBLEM FOR THE FOURTH ORDER DEGENERATE ORDINARY DIFFERENTIAL EQUATION
DOI:
https://doi.org/10.46991/PYSU:A/2010.44.2.016Keywords:
mixed problem, weighted Sobolev spaces, generalized solution, spectrum of linear operatorsAbstract
A mixed problem for the equation
$ Lu\equiv (t^{\alpha}u'')''+\alpha u=f $ (1)
is considered. Firstly, the weighted Sobolev spaces $W_\alpha^2,~ W_{\alpha}^2(0),~W_{\alpha}^2(b)$ and the generalized solution to equation (1) are defined. Next, the existence and uniqueness of the generalized solution for the mixed problem is studied, as well as the description of the spectrum of corresponding operator is given.
Downloads
Published
2010-04-26
How to Cite
Yousefi, E. . (2010). A MIXED PROBLEM FOR THE FOURTH ORDER DEGENERATE ORDINARY DIFFERENTIAL EQUATION. Proceedings of the YSU A: Physical and Mathematical Sciences, 44(2 (222), 16–19. https://doi.org/10.46991/PYSU:A/2010.44.2.016
Issue
Section
Mathematics
License
Copyright (c) 2010 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.