## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 532409, 6 pages.

### On Some Classes of Linear Volterra Integral Equations

**Full-text: Open access**

#### Abstract

The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems. The Volterra integral equations of the first kind with piecewise smooth kernels are considered. Illustrative examples are presented.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 532409, 6 pages.

**Dates**

First available in Project Euclid: 2 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412279769

**Digital Object Identifier**

doi:10.1155/2014/532409

**Mathematical Reviews number (MathSciNet)**

MR3232846

**Zentralblatt MATH identifier**

07022566

#### Citation

Apartsyn, Anatoly S. On Some Classes of Linear Volterra Integral Equations. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 532409, 6 pages. doi:10.1155/2014/532409. https://projecteuclid.org/euclid.aaa/1412279769

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Digital Object Identifier: doi:10.1134/S0005117913060015

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