| Title:
|
Qualitative theory of half-linear second order differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
181-195 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some recent results concerning properties of solutions of the half-linear second order differential equation \[ (r(t)\Phi (x^{\prime }))^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x):=|x|^{p-2}x,\quad p>1, \qquad \mathrm{{(*)}}\] are presented. A particular attention is paid to the oscillation theory of $(*)$. Related problems are also discussed. (English) |
| Keyword:
|
half-linear equation |
| Keyword:
|
Picone’s identity |
| Keyword:
|
scalar $p$-Laplacian |
| Keyword:
|
variational method |
| Keyword:
|
Riccati technique |
| Keyword:
|
principal solution |
| MSC:
|
34C10 |
| MSC:
|
34C11 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 1016.34030 |
| idMR:
|
MR1981523 |
| DOI:
|
10.21136/MB.2002.134170 |
| . |
| Date available:
|
2012-10-05T12:53:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134170 |
| . |
| Reference:
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