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

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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

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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

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  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

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