| Title:
|
On asymptotic decaying solutions for a class of second order differential equations (English) |
| Author:
|
Matucci, Serena |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1999 |
| Pages:
|
275-284 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author considers the quasilinear differential equations \begin{gather} \left(r(t)\varphi (x^{\prime })\right)^{\prime }+ q(t)f(x)=0\,,\quad \quad t\ge a\\ \multicolumn{2}{l}{\text{and}}\\ \left(r(t)\varphi (x^{\prime })\right)^{\prime } + F(t,x)=\pm g(t)\,,\quad \quad t\ge a\,. \end{gather} By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations. (English) |
| Keyword:
|
nonoscillatory behavior |
| Keyword:
|
asymptotic decaying nonnegative solutions |
| Keyword:
|
fixed point theorem |
| MSC:
|
34C11 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 1048.34088 |
| idMR:
|
MR1725843 |
| . |
| Date available:
|
2008-06-06T22:23:26Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107701 |
| . |
| Reference:
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