Journal of Integral Equations and Applications

On a new class of integro-differential equations

Patrick Kurth

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Abstract

We consider various initial-value problems for ordinary integro-differential equations of first order that are characterized by convolution-terms, where all factors depend on the solutions of the equations. Applications of such problems are descriptions of certain glass-transition phenomena based on mode-coupling theory, for instance. We will prove results concerning well-posedness of such problems and the asymptotic behaviour of their solutions.

Article information

Source
J. Integral Equations Applications, Volume 26, Number 4 (2014), 497-526.

Dates
First available in Project Euclid: 9 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1420812883

Digital Object Identifier
doi:10.1216/JIE-2014-26-4-497

Mathematical Reviews number (MathSciNet)
MR3299829

Zentralblatt MATH identifier
1307.45008

Keywords
Well-posedness integro-differential equations asymptotic behaviour glass-transition

Citation

Kurth, Patrick. On a new class of integro-differential equations. J. Integral Equations Applications 26 (2014), no. 4, 497--526. doi:10.1216/JIE-2014-26-4-497. https://projecteuclid.org/euclid.jiea/1420812883


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