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

Archivum Mathematicum (2011)

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

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topCîrnu, 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- Cîrnu, M., First order differential recurrence equations with discrete auto–convolution, Int. J. Math. Comput. 4 (S09) (2009), 124–128. (2009) MR2596425
- Cîrnu, M., 10.4169/000298910X474998, Amer. Math. Monthly 117 (1) (2010), 67–71. (2010) MR2599468DOI10.4169/000298910X474998
- 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
- Flaisher, N. M., A certain differential recurrence equation, Arch. Math. (Brno) 4 (4) (1968), 237–239, (Russian). (1968) MR0262631
- Widder, D. V., The Laplace transform, Princeton University Press, 1946. (1946) MR0005923
- Wintner, A., 10.2307/2370961, Amer. J. Math. 56 (1934), 659–663. (1934) Zbl0010.05905MR1507049DOI10.2307/2370961

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