Acta Mathematica Hungarica
Volume/Issue:
Volume 107: Issue 4

On nonlinear integral equations and Λ-bounded variation

Authors:
Daria Bugajewska Faculty of Mathematics and Computer Science, A. Mickiewicz University Umultowska 87, 61-614 Poznań, Poland

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and
Donal O’Regan Department of Mathematics, National University of Ireland Galway, Ireland

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Pages:
295–306
Online Publication Date:
31 May 2005
Publication Date:
01 Jun 2005
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-005-0197-8
Keywords:
Hammerstein integral equation; ?-bounded variation; Volterra-Hammerstein integral equation
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Summary We discuss the existence or the existence and uniqueness of global and local Λ-bounded variation (ΛBV) solutions as well as continuous ΛBV-solutions of nonlinear Hammerstein and Volterra-Hammerstein integral equations formulated in terms of the Lebesgue integral. Since the space of functions of bounded variation in the sense of Jordan is a proper subspace of functions of Λ-bounded variation and for some class of functions φ, the space of functions of bounded φ-variation in the sense of Young is also a proper subspace of the space under consideration, our results extend known results in the literature.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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