On the oscillatory integration of some ordinary differential equations
Archivum Mathematicum (2008)
- Volume: 044, Issue: 1, page 23-36
- ISSN: 0044-8753
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topMustafa, Octavian G.. "On the oscillatory integration of some ordinary differential equations." Archivum Mathematicum 044.1 (2008): 23-36. <http://eudml.org/doc/250295>.
@article{Mustafa2008,
abstract = {Conditions are given for a class of nonlinear ordinary differential equations $x^\{\prime \prime \}+a(t)w(x)=0$, $t\ge t_0\ge 1$, which includes the linear equation to possess solutions $x(t)$ with prescribed oblique asymptote that have an oscillatory pseudo-wronskian $x^\{\prime \}(t)-\frac\{x(t)\}\{t\}$.},
author = {Mustafa, Octavian G.},
journal = {Archivum Mathematicum},
keywords = {ordinary differential equation; asymptotic integration; prescribed asymptote; non-oscillation of solutions; ordinary differential equation; asymptotic integration; prescribed asymptote; non-oscillation},
language = {eng},
number = {1},
pages = {23-36},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the oscillatory integration of some ordinary differential equations},
url = {http://eudml.org/doc/250295},
volume = {044},
year = {2008},
}
TY - JOUR
AU - Mustafa, Octavian G.
TI - On the oscillatory integration of some ordinary differential equations
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 1
SP - 23
EP - 36
AB - Conditions are given for a class of nonlinear ordinary differential equations $x^{\prime \prime }+a(t)w(x)=0$, $t\ge t_0\ge 1$, which includes the linear equation to possess solutions $x(t)$ with prescribed oblique asymptote that have an oscillatory pseudo-wronskian $x^{\prime }(t)-\frac{x(t)}{t}$.
LA - eng
KW - ordinary differential equation; asymptotic integration; prescribed asymptote; non-oscillation of solutions; ordinary differential equation; asymptotic integration; prescribed asymptote; non-oscillation
UR - http://eudml.org/doc/250295
ER -
References
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