A certain integral-recurrence equation with discrete-continuous auto-convolution

Mircea I. Cîrnu

Archivum Mathematicum (2011)

  • Volume: 047, Issue: 4, page 245-250
  • ISSN: 0044-8753

Abstract

top
Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.

How to cite

top

Cîrnu, Mircea I.. "A certain integral-recurrence equation with discrete-continuous auto-convolution." Archivum Mathematicum 047.4 (2011): 245-250. <http://eudml.org/doc/247199>.

@article{Cîrnu2011,
abstract = {Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.},
author = {Cîrnu, Mircea I.},
journal = {Archivum Mathematicum},
keywords = {integral-recurrence equation; first order differential recurrence equations; discrete-continuous convolution; combinatorial discrete-continuous convolution; auto-convolution; Laplace transform; integral-recurrence equation; first order differential recurrence equations; combinatorial discrete-continuous convolution; auto-convolution; Laplace transformable solutions},
language = {eng},
number = {4},
pages = {245-250},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A certain integral-recurrence equation with discrete-continuous auto-convolution},
url = {http://eudml.org/doc/247199},
volume = {047},
year = {2011},
}

TY - JOUR
AU - Cîrnu, Mircea I.
TI - A certain integral-recurrence equation with discrete-continuous auto-convolution
JO - Archivum Mathematicum
PY - 2011
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 047
IS - 4
SP - 245
EP - 250
AB - Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
LA - eng
KW - integral-recurrence equation; first order differential recurrence equations; discrete-continuous convolution; combinatorial discrete-continuous convolution; auto-convolution; Laplace transform; integral-recurrence equation; first order differential recurrence equations; combinatorial discrete-continuous convolution; auto-convolution; Laplace transformable solutions
UR - http://eudml.org/doc/247199
ER -

References

top
  1. Cîrnu, M., First order differential recurrence equations with discrete auto–convolution, Int. J. Math. Comput. 4 (S09) (2009), 124–128. (2009) MR2596425
  2. Cîrnu, M., 10.4169/000298910X474998, Amer. Math. Monthly 117 (1) (2010), 67–71. (2010) MR2599468DOI10.4169/000298910X474998
  3. Cîrnu, M., Initial–value problems for first–order differential recurrence equations with auto–convolution, Electron. J. Differential Equations 2 (2011), 1–13. (2011) Zbl1258.34023MR2764319
  4. Flaisher, N. M., A certain differential recurrence equation, Arch. Math. (Brno) 4 (4) (1968), 237–239, (Russian). (1968) MR0262631
  5. Widder, D. V., The Laplace transform, Princeton University Press, 1946. (1946) MR0005923
  6. Wintner, A., 10.2307/2370961, Amer. J. Math. 56 (1934), 659–663. (1934) Zbl0010.05905MR1507049DOI10.2307/2370961

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.