On a new class of integro-differential equations

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Journal of Integral Equations and Applications. 2014, 26(4), pp. 497-526. ISSN 0897-3962. eISSN 1938-2626. Available under: doi: 10.1216/JIE-2014-26-4-497
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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.

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510 Mathematik
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ISO 690KURTH, Patrick, 2014. On a new class of integro-differential equations. In: Journal of Integral Equations and Applications. 2014, 26(4), pp. 497-526. ISSN 0897-3962. eISSN 1938-2626. Available under: doi: 10.1216/JIE-2014-26-4-497
BibTex
@article{Kurth2014-12class-41636,
  year={2014},
  doi={10.1216/JIE-2014-26-4-497},
  title={On a new class of integro-differential equations},
  number={4},
  volume={26},
  issn={0897-3962},
  journal={Journal of Integral Equations and Applications},
  pages={497--526},
  author={Kurth, Patrick}
}
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