| Title:
|
A certain integral-recurrence equation with discrete-continuous auto-convolution (English) |
| Author:
|
Cîrnu, Mircea I. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
245-250 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
integral-recurrence equation |
| Keyword:
|
first order differential recurrence equations |
| Keyword:
|
discrete-continuous convolution |
| Keyword:
|
combinatorial discrete-continuous convolution |
| Keyword:
|
auto-convolution |
| Keyword:
|
Laplace transform |
| MSC:
|
44A10 |
| MSC:
|
45G10 |
| idZBL:
|
Zbl 1249.45007 |
| idMR:
|
MR2876946 |
| . |
| Date available:
|
2011-12-16T15:11:15Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141771 |
| . |
| Reference:
|
[1] Cîrnu, M.: First order differential recurrence equations with discrete auto–convolution.Int. J. Math. Comput. 4 (S09) (2009), 124–128. MR 2596425 |
| Reference:
|
[2] Cîrnu, M.: Newton’s identities and Laplace transform.Amer. Math. Monthly 117 (1) (2010), 67–71. MR 2599468, 10.4169/000298910X474998 |
| Reference:
|
[3] Cîrnu, M.: Initial–value problems for first–order differential recurrence equations with auto–convolution.Electron. J. Differential Equations 2 (2011), 1–13. Zbl 1258.34023, MR 2764319 |
| Reference:
|
[4] Flaisher, N. M.: A certain differential recurrence equation.Arch. Math. (Brno) 4 (4) (1968), 237–239, (Russian). MR 0262631 |
| Reference:
|
[5] Widder, D. V.: The Laplace transform.Princeton University Press, 1946. MR 0005923 |
| Reference:
|
[6] Wintner, A.: On analytic convolutions of Bernoulli distributions.Amer. J. Math. 56 (1934), 659–663. Zbl 0010.05905, MR 1507049, 10.2307/2370961 |
| . |
