Geodesic
A certain integral-recurrence equation with discrete-continuous auto-convolution
Archivum mathematicum, Tome 47 (2011) no. 4, pp. 245-250.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 44A10, 45G10
Keywords: integral-recurrence equation; first order differential recurrence equations; discrete-continuous convolution; combinatorial discrete-continuous convolution; auto-convolution; Laplace transform 
@article{ARM_2011__47_4_a0,
     author = {C{\^\i}rnu, Mircea I.},
     title = {A certain integral-recurrence equation with discrete-continuous auto-convolution},
     journal = {Archivum mathematicum},
     pages = {245--250},
     publisher = {mathdoc},
     volume = {47},
     number = {4},
     year = {2011},
     mrnumber = {2876946},
     zbl = {1249.45007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2011__47_4_a0/}
}
TY  - JOUR
AU  - Cîrnu, Mircea I.
TI  - A certain integral-recurrence equation with discrete-continuous auto-convolution
JO  - Archivum mathematicum
PY  - 2011
SP  - 245
EP  - 250
VL  - 47
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2011__47_4_a0/
LA  - en
ID  - ARM_2011__47_4_a0
ER  - 
%0 Journal Article
%A Cîrnu, Mircea I.
%T A certain integral-recurrence equation with discrete-continuous auto-convolution
%J Archivum mathematicum
%D 2011
%P 245-250
%V 47
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2011__47_4_a0/
%G en
%F ARM_2011__47_4_a0
Cîrnu, Mircea I. A certain integral-recurrence equation with discrete-continuous auto-convolution. Archivum mathematicum, Tome 47 (2011) no. 4, pp. 245-250. http://geodesic.mathdoc.fr/item/ARM_2011__47_4_a0/