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July/August 2018 An application of a diffeomorphism theorem to Volterra integral operator
Josef Diblík, Marek Galewski, Marcin Koniorczyk, Ewa Schmeidel
Differential Integral Equations 31(7/8): 621-642 (July/August 2018).

Abstract

Using global diffeomorphism theorem based on duality mapping and mountain geometry, we investigate the properties of the Volterra operator given pointwise for $t\in \left[ 0,1\right] $ by \begin{equation*} V(x)(t)=x(t)+ \int _{0}^{t} v(t,\tau ,x(\tau ))d\tau ,\text{ }x(0)=0. \end{equation*}

Citation

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Josef Diblík. Marek Galewski. Marcin Koniorczyk. Ewa Schmeidel. "An application of a diffeomorphism theorem to Volterra integral operator." Differential Integral Equations 31 (7/8) 621 - 642, July/August 2018.

Information

Published: July/August 2018
First available in Project Euclid: 11 May 2018

zbMATH: 06890407
MathSciNet: MR3801827

Subjects:
Primary: 26B10, 47J07

Rights: Copyright © 2018 Khayyam Publishing, Inc.

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Vol.31 • No. 7/8 • July/August 2018
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