A note on the Cauchy problem for first order linear differential equations with a deviating argument

Hakl, Robert, and Lomtatidze, Alexander. "A note on the Cauchy problem for first order linear differential equations with a deviating argument." Archivum Mathematicum 038.1 (2002): 61-71. <http://eudml.org/doc/248938>.

@article{Hakl2002,
abstract = {Conditions for the existence and uniqueness of a solution of the Cauchy problem \[ u^\{\prime \}(t)=p(t)u(\tau (t))+q(t)\,,\qquad u(a)=c\,, \] established in [2], are formulated more precisely and refined for the special case, where the function $\tau $ maps the interval $]a,b[$ into some subinterval $[\tau _0,\tau _1]\subseteq [a,b]$, which can be degenerated to a point.},
author = {Hakl, Robert, Lomtatidze, Alexander},
journal = {Archivum Mathematicum},
keywords = {first order equation; differential equation with deviating arguments; initial value problems; first order equation; differential equation with deviating arguments; initial value problems},
language = {eng},
number = {1},
pages = {61-71},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on the Cauchy problem for first order linear differential equations with a deviating argument},
url = {http://eudml.org/doc/248938},
volume = {038},
year = {2002},
}

TY - JOUR
AU - Hakl, Robert
AU - Lomtatidze, Alexander
TI - A note on the Cauchy problem for first order linear differential equations with a deviating argument
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 1
SP - 61
EP - 71
AB - Conditions for the existence and uniqueness of a solution of the Cauchy problem \[ u^{\prime }(t)=p(t)u(\tau (t))+q(t)\,,\qquad u(a)=c\,, \] established in [2], are formulated more precisely and refined for the special case, where the function $\tau $ maps the interval $]a,b[$ into some subinterval $[\tau _0,\tau _1]\subseteq [a,b]$, which can be degenerated to a point.
LA - eng
KW - first order equation; differential equation with deviating arguments; initial value problems; first order equation; differential equation with deviating arguments; initial value problems
UR - http://eudml.org/doc/248938
ER -