Limit circle results for second order equations |
| |
| Authors: | Prof. T. A. Burton W. T. Patula |
| |
| Affiliation: | (1) Mathematics Department, Southern Illinois University, 62901 Carbondale, IL, USA |
| |
| Abstract: | It is known that for second order linear equations the assumption of limit circle (all solutions being square integrable) is not sufficient to imply boundedness of solutions. We investigate what additional hypotheses are needed to insure that all solutions are bounded. Also, we prove certain limit circle results using Liapunov functions. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
