On the local Cauchy problem for first order partial differential functional equations

Elżbieta Puźniakowska-Gałuch. "On the local Cauchy problem for first order partial differential functional equations." Annales Polonici Mathematici 98.1 (2010): 39-61. <http://eudml.org/doc/280179>.

@article{ElżbietaPuźniakowska2010,
abstract = {A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can be obtained from the general theory by specializing given operators.},
author = {Elżbieta Puźniakowska-Gałuch},
journal = {Annales Polonici Mathematici},
keywords = {functional differential equations; Haar pyramid; method of bicharacteristics; integral inequalities},
language = {eng},
number = {1},
pages = {39-61},
title = {On the local Cauchy problem for first order partial differential functional equations},
url = {http://eudml.org/doc/280179},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Elżbieta Puźniakowska-Gałuch
TI - On the local Cauchy problem for first order partial differential functional equations
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 1
SP - 39
EP - 61
AB - A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can be obtained from the general theory by specializing given operators.
LA - eng
KW - functional differential equations; Haar pyramid; method of bicharacteristics; integral inequalities
UR - http://eudml.org/doc/280179
ER -