On the Cauchy problem for linear PDEs with retarded arguments at derivatives

Krzysztof A. Topolski. "On the Cauchy problem for linear PDEs with retarded arguments at derivatives." Annales Polonici Mathematici 113.3 (2015): 269-282. <http://eudml.org/doc/280705>.

@article{KrzysztofA2015,
abstract = {We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.},
author = {Krzysztof A. Topolski},
journal = {Annales Polonici Mathematici},
keywords = {Tonelli's method; retarded and deviated arguments; uniqueness criteria},
language = {eng},
number = {3},
pages = {269-282},
title = {On the Cauchy problem for linear PDEs with retarded arguments at derivatives},
url = {http://eudml.org/doc/280705},
volume = {113},
year = {2015},
}

TY - JOUR
AU - Krzysztof A. Topolski
TI - On the Cauchy problem for linear PDEs with retarded arguments at derivatives
JO - Annales Polonici Mathematici
PY - 2015
VL - 113
IS - 3
SP - 269
EP - 282
AB - We present an existence theorem for the Cauchy problem related to linear partial differential-functional equations of an arbitrary order. The equations considered include the cases of retarded and deviated arguments at the derivatives of the unknown function. In the proof we use Tonelli's constructive method. We also give uniqueness criteria valid in a wide class of admissible functions. We present a set of examples to illustrate the theory.
LA - eng
KW - Tonelli's method; retarded and deviated arguments; uniqueness criteria
UR - http://eudml.org/doc/280705
ER -