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

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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.
Classification : 44A10, 45G10
Keywords: integral-recurrence equation; first order differential recurrence equations; discrete-continuous convolution; combinatorial discrete-continuous convolution; auto-convolution; Laplace transform 
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     author = {C{\^\i}rnu, Mircea I.},
     title = {A certain integral-recurrence equation with discrete-continuous auto-convolution},
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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/