| Title:
|
On non-oscillation on semi-axis of solutions of second order deviating differential equations (English) |
| Author:
|
Labovskiy, Sergey |
| Author:
|
Alves, Manuel |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
143 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
355-376 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain conditions for existence and (almost) non-oscillation of solutions of a second order linear homogeneous functional differential equations \begin {equation*} u''(x)+\sum _i p_i(x) u'(h_i(x))+\sum _i q_i(x) u(g_i(x)) = 0 \end {equation*} without the delay conditions $h_i(x),g_i(x)\le x$, $i=1,2,\ldots $, and $$ u''(x)+\int _0^{\infty }u'(s){\rm d}_sr_1(x,s)+\int _0^{\infty } u(s){\rm d}_sr_0(x,s) = 0. $$ (English) |
| Keyword:
|
non-oscillation |
| Keyword:
|
deviating non-delay equation |
| Keyword:
|
singular boundary value problem |
| MSC:
|
34C10 |
| MSC:
|
34K10 |
| MSC:
|
34K11 |
| idZBL:
|
Zbl 06997371 |
| idMR:
|
MR3895261 |
| DOI:
|
10.21136/MB.2017.0025-17 |
| . |
| Date available:
|
2018-11-29T09:23:09Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147474 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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|
[18] Labovskiy, S.: On existence of positive on semi-axis solutions for a second order deviating differential equations.Int. Miniconf. Qualitative Theory of Differential Equations and Applications, Moscow, 2013, pp. 190-207. |
| . |
