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 |
_version_ | 1818497676816154624 |
---|---|
author | Sergey Labovskiy Manuel Alves |
author_facet | Sergey Labovskiy Manuel Alves |
author_sort | Sergey Labovskiy |
collection | DOAJ |
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. |
first_indexed | 2024-12-10T18:48:13Z |
format | Article |
id | doaj.art-4b249d7aab7a459a91132bca4508ebf5 |
institution | Directory Open Access Journal |
issn | 0862-7959 2464-7136 |
language | English |
last_indexed | 2024-12-10T18:48:13Z |
publishDate | 2018-12-01 |
publisher | Institute of Mathematics of the Czech Academy of Science |
record_format | Article |
series | Mathematica Bohemica |
spelling | doaj.art-4b249d7aab7a459a91132bca4508ebf52022-12-22T01:37:24ZengInstitute 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 |
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 |
title | 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_short | 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 |
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 |