Infinite systems of first order PFDEs with mixed conditions

W. Czernous

Annales Polonici Mathematici (2008)

  • Volume: 94, Issue: 3, page 209-230
  • ISSN: 0066-2216

Abstract

top
We consider mixed problems for infinite systems of first order partial functional differential equations. An infinite number of deviating functions is permitted, and the delay of an argument may also depend on the spatial variable. A theorem on the existence of a solution and its continuous dependence upon initial boundary data is proved. The method of successive approximations is used in the existence proof. Infinite differential systems with deviated arguments and differential integral systems can be derived from the general model by specializing the operators.

How to cite

top

W. Czernous. "Infinite systems of first order PFDEs with mixed conditions." Annales Polonici Mathematici 94.3 (2008): 209-230. <http://eudml.org/doc/280273>.

@article{W2008,
abstract = {We consider mixed problems for infinite systems of first order partial functional differential equations. An infinite number of deviating functions is permitted, and the delay of an argument may also depend on the spatial variable. A theorem on the existence of a solution and its continuous dependence upon initial boundary data is proved. The method of successive approximations is used in the existence proof. Infinite differential systems with deviated arguments and differential integral systems can be derived from the general model by specializing the operators.},
author = {W. Czernous},
journal = {Annales Polonici Mathematici},
keywords = {infinite systems; bicharacteristics; classical solutions; Volterra type operators},
language = {eng},
number = {3},
pages = {209-230},
title = {Infinite systems of first order PFDEs with mixed conditions},
url = {http://eudml.org/doc/280273},
volume = {94},
year = {2008},
}

TY - JOUR
AU - W. Czernous
TI - Infinite systems of first order PFDEs with mixed conditions
JO - Annales Polonici Mathematici
PY - 2008
VL - 94
IS - 3
SP - 209
EP - 230
AB - We consider mixed problems for infinite systems of first order partial functional differential equations. An infinite number of deviating functions is permitted, and the delay of an argument may also depend on the spatial variable. A theorem on the existence of a solution and its continuous dependence upon initial boundary data is proved. The method of successive approximations is used in the existence proof. Infinite differential systems with deviated arguments and differential integral systems can be derived from the general model by specializing the operators.
LA - eng
KW - infinite systems; bicharacteristics; classical solutions; Volterra type operators
UR - http://eudml.org/doc/280273
ER -

NotesEmbed ?

top

You must be logged in to post comments.

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

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.