| Title:
|
Methods of oscillation theory of half-linear second order differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
657-671 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we investigate oscillatory properties of the second order half-linear equation \[ (r(t)\Phi (y^{\prime }))^{\prime }+c(t)\Phi (y)=0, \quad \Phi (s):= |s|^{p-2}s. \qquad \mathrm{{(*)}}\] Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results. (English) |
| Keyword:
|
half-linear equation |
| Keyword:
|
Riccati technique |
| Keyword:
|
variational principle |
| Keyword:
|
reciprocity principle |
| Keyword:
|
principal solution |
| Keyword:
|
oscillation and nonoscillation criteria |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1079.34512 |
| idMR:
|
MR1777486 |
| . |
| Date available:
|
2009-09-24T10:36:49Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127601 |
| . |
| Reference:
|
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