# On the Cauchy problem for hyperbolic functional-differential equations

Adrian Karpowicz; Henryk Leszczyński

Annales Polonici Mathematici (2015)

- Volume: 115, Issue: 1, page 53-74
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topAdrian Karpowicz, and Henryk Leszczyński. "On the Cauchy problem for hyperbolic functional-differential equations." Annales Polonici Mathematici 115.1 (2015): 53-74. <http://eudml.org/doc/280520>.

@article{AdrianKarpowicz2015,

abstract = {We consider the Cauchy problem for a nonlocal wave equation in one dimension. We study the existence of solutions by means of bicharacteristics. The existence and uniqueness is obtained in $W^\{1,∞\}_\{loc\}$ topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.},

author = {Adrian Karpowicz, Henryk Leszczyński},

journal = {Annales Polonici Mathematici},

keywords = {hyperbolic equation; functional-differential; Cauchy problem; existence},

language = {eng},

number = {1},

pages = {53-74},

title = {On the Cauchy problem for hyperbolic functional-differential equations},

url = {http://eudml.org/doc/280520},

volume = {115},

year = {2015},

}

TY - JOUR

AU - Adrian Karpowicz

AU - Henryk Leszczyński

TI - On the Cauchy problem for hyperbolic functional-differential equations

JO - Annales Polonici Mathematici

PY - 2015

VL - 115

IS - 1

SP - 53

EP - 74

AB - We consider the Cauchy problem for a nonlocal wave equation in one dimension. We study the existence of solutions by means of bicharacteristics. The existence and uniqueness is obtained in $W^{1,∞}_{loc}$ topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.

LA - eng

KW - hyperbolic equation; functional-differential; Cauchy problem; existence

UR - http://eudml.org/doc/280520

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.