Remarks concerning Driver's equation

Gerd Herzog; Roland Lemmert

Annales Polonici Mathematici (1994)

  • Volume: 59, Issue: 2, page 197-202
  • ISSN: 0066-2216

Abstract

top
We consider uniqueness for the initial value problem x' = 1 + f(x) - f(t), x(0) = 0. Several uniqueness criteria are given as well as an example of non-uniqueness.

How to cite

top

Gerd Herzog, and Roland Lemmert. "Remarks concerning Driver's equation." Annales Polonici Mathematici 59.2 (1994): 197-202. <http://eudml.org/doc/262242>.

@article{GerdHerzog1994,
abstract = {We consider uniqueness for the initial value problem x' = 1 + f(x) - f(t), x(0) = 0. Several uniqueness criteria are given as well as an example of non-uniqueness.},
author = {Gerd Herzog, Roland Lemmert},
journal = {Annales Polonici Mathematici},
keywords = {ordinary differential equations; uniqueness conditions; uniqueness; initial value problem},
language = {eng},
number = {2},
pages = {197-202},
title = {Remarks concerning Driver's equation},
url = {http://eudml.org/doc/262242},
volume = {59},
year = {1994},
}

TY - JOUR
AU - Gerd Herzog
AU - Roland Lemmert
TI - Remarks concerning Driver's equation
JO - Annales Polonici Mathematici
PY - 1994
VL - 59
IS - 2
SP - 197
EP - 202
AB - We consider uniqueness for the initial value problem x' = 1 + f(x) - f(t), x(0) = 0. Several uniqueness criteria are given as well as an example of non-uniqueness.
LA - eng
KW - ordinary differential equations; uniqueness conditions; uniqueness; initial value problem
UR - http://eudml.org/doc/262242
ER -

References

top
  1. [1] R. D. Driver, Advanced problem 5415, Amer. Math. Monthly 73 (1966), 783. 
  2. [2] R. D. Driver, D. W. Sasser and R. J. Thompson, Solutions of advanced problems, Amer. Math. Monthly 76 (1969), 948-949. 
  3. [3] Ch. Nowak, Eindeutigkeit und Nichteindeutigkeit bei gewöhnlichen Differentialgleichungen, Habilitationsschrift, Universität Klagenfurt, 1990. 
  4. [4] W. Walter, Gewöhnliche Differentialgleichungen, 4. Auflage, Springer, Berlin, 1990. 

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.