General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations
Mathematica Bohemica (2008)
- Volume: 133, Issue: 4, page 435-445
- ISSN: 0862-7959
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topDilna, N., and Rontó, A.. "General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations." Mathematica Bohemica 133.4 (2008): 435-445. <http://eudml.org/doc/250537>.
@article{Dilna2008,
abstract = {New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.},
author = {Dilna, N., Rontó, A.},
journal = {Mathematica Bohemica},
keywords = {functional differential equation; Cauchy problem; initial value problem; differential inequality; functional differential equation; Cauchy problem; initial value problem; differential inequality},
language = {eng},
number = {4},
pages = {435-445},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations},
url = {http://eudml.org/doc/250537},
volume = {133},
year = {2008},
}
TY - JOUR
AU - Dilna, N.
AU - Rontó, A.
TI - General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 4
SP - 435
EP - 445
AB - New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
LA - eng
KW - functional differential equation; Cauchy problem; initial value problem; differential inequality; functional differential equation; Cauchy problem; initial value problem; differential inequality
UR - http://eudml.org/doc/250537
ER -
References
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