Abstract
The solvability behaviour of Volterra equations on the line will be studied in this section. The central concept which corresponds to well-posedness is that of ad-missibility of homogeneous spaces of functions on the line. Necessary conditions for admissibility are derived and some consequences of this property are studied. Thereafter the connections between the equations on the line and on the halfline are studied and the notion of limiting equation is justified.
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© 1993 Springer Basel AG
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Prüss, J. (1993). Limiting Equations. In: Evolutionary Integral Equations and Applications. Monographs in Mathematics, vol 87. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8570-6_11
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DOI: https://doi.org/10.1007/978-3-0348-8570-6_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2876-4
Online ISBN: 978-3-0348-8570-6
eBook Packages: Springer Book Archive