Functional differential inequalities with unbounded delay

Z. Kamont, and S. Kozieł. "Functional differential inequalities with unbounded delay." Annales Polonici Mathematici 88.1 (2006): 19-37. <http://eudml.org/doc/280730>.

@article{Z2006,
abstract = {Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay. Examples of phase spaces are given.},
author = {Z. Kamont, S. Kozieł},
journal = {Annales Polonici Mathematici},
keywords = {unbounded delay; initial boundary value problems; phase spaces; functional differential inequalities},
language = {eng},
number = {1},
pages = {19-37},
title = {Functional differential inequalities with unbounded delay},
url = {http://eudml.org/doc/280730},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Z. Kamont
AU - S. Kozieł
TI - Functional differential inequalities with unbounded delay
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 1
SP - 19
EP - 37
AB - Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay. Examples of phase spaces are given.
LA - eng
KW - unbounded delay; initial boundary value problems; phase spaces; functional differential inequalities
UR - http://eudml.org/doc/280730
ER -