Hamilton-Jacobi functional differential equations with unbounded delay

Adam Nadolski

Annales Polonici Mathematici (2003)

  • Volume: 82, Issue: 2, page 105-126
  • ISSN: 0066-2216

Abstract

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The Cauchy problem for nonlinear functional differential equations on the Haar pyramid is considered. The phase space for generalized solutions is constructed. An existence theorem is proved by using the method of successive approximations. The theory of characteristics and integral inequalities are used. Examples of phase spaces are given.

How to cite

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Adam Nadolski. "Hamilton-Jacobi functional differential equations with unbounded delay." Annales Polonici Mathematici 82.2 (2003): 105-126. <http://eudml.org/doc/280689>.

@article{AdamNadolski2003,
abstract = {The Cauchy problem for nonlinear functional differential equations on the Haar pyramid is considered. The phase space for generalized solutions is constructed. An existence theorem is proved by using the method of successive approximations. The theory of characteristics and integral inequalities are used. Examples of phase spaces are given.},
author = {Adam Nadolski},
journal = {Annales Polonici Mathematici},
keywords = {unbounded delay; initial value problems; Haar pyramid; generalized solutions},
language = {eng},
number = {2},
pages = {105-126},
title = {Hamilton-Jacobi functional differential equations with unbounded delay},
url = {http://eudml.org/doc/280689},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Adam Nadolski
TI - Hamilton-Jacobi functional differential equations with unbounded delay
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 2
SP - 105
EP - 126
AB - The Cauchy problem for nonlinear functional differential equations on the Haar pyramid is considered. The phase space for generalized solutions is constructed. An existence theorem is proved by using the method of successive approximations. The theory of characteristics and integral inequalities are used. Examples of phase spaces are given.
LA - eng
KW - unbounded delay; initial value problems; Haar pyramid; generalized solutions
UR - http://eudml.org/doc/280689
ER -

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