Abstract and Applied Analysis

On Some Classes of Linear Volterra Integral Equations

Anatoly S. Apartsyn

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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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References

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