On non-oscillation on semi-axis of solutions of second order deviating differential equations
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)\l...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2018-12-01
|
| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/143/4/mb143_4_3.pdf |
| id |
doaj-4b249d7aab7a459a91132bca4508ebf5 |
|---|---|
| record_format |
Article |
| spelling |
doaj-4b249d7aab7a459a91132bca4508ebf52020-11-24T21:57:28ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362018-12-01143435537610.21136/MB.2017.0025-17MB.2017.0025-17On non-oscillation on semi-axis of solutions of second order deviating differential equationsSergey LabovskiyManuel AlvesWe 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.http://mb.math.cas.cz/full/143/4/mb143_4_3.pdf non-oscillation deviating non-delay equation singular boundary value problem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sergey Labovskiy Manuel Alves |
| spellingShingle |
Sergey Labovskiy Manuel Alves On non-oscillation on semi-axis of solutions of second order deviating differential equations Mathematica Bohemica non-oscillation deviating non-delay equation singular boundary value problem |
| author_facet |
Sergey Labovskiy Manuel Alves |
| author_sort |
Sergey Labovskiy |
| title |
On non-oscillation on semi-axis of solutions of second order deviating differential equations |
| title_short |
On non-oscillation on semi-axis of solutions of second order deviating differential equations |
| title_full |
On non-oscillation on semi-axis of solutions of second order deviating differential equations |
| title_fullStr |
On non-oscillation on semi-axis of solutions of second order deviating differential equations |
| title_full_unstemmed |
On non-oscillation on semi-axis of solutions of second order deviating differential equations |
| title_sort |
on non-oscillation on semi-axis of solutions of second order deviating differential equations |
| publisher |
Institute of Mathematics of the Czech Academy of Science |
| series |
Mathematica Bohemica |
| issn |
0862-7959 2464-7136 |
| publishDate |
2018-12-01 |
| description |
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. |
| topic |
non-oscillation deviating non-delay equation singular boundary value problem |
| url |
http://mb.math.cas.cz/full/143/4/mb143_4_3.pdf |
| work_keys_str_mv |
AT sergeylabovskiy onnonoscillationonsemiaxisofsolutionsofsecondorderdeviatingdifferentialequations AT manuelalves onnonoscillationonsemiaxisofsolutionsofsecondorderdeviatingdifferentialequations |
| _version_ |
1725855477761310720 |