Name: On volterra equations of the first kind
Creator: Gripenberg, Gustaf
Keywords: Volterra equations of the first kind, Volterra integral equations, regularity properties, nonconvolution kernels, 0101 mathematics, 01 natural sciences

On Volterra equations of the first kind

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1980 English Publisher:Springer Science and Business Media LLCJournal:Integral Equations and Operator Theory, volume 3, pages 473-488 (issn: 0378-620X, eissn: 1420-8989,

Authors: Gripenberg, Gustaf;

doi: 10.1007/bf01702311

On volterra equations of the first kind

- Summary
- Subjects
- Metrics

Abstract

The existence of a solution β of the equation $$\int_0^t {a(t - s)d\beta (s) = 1, t > 0} $$ is studied under fairly general assumptions on the function a. Sufficient conditions for the measure β to be absolutely continuous or satisfy some additional regularity properties are given. An extension to nonconvolution kernels is also considered.

Related Organizations

Helsinki University of Technology
Finland
University of Helsinki
Finland

Keywords

Volterra equations of the first kind, Volterra integral equations, regularity properties, nonconvolution kernels

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	19
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average