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DIBLÍK, J. GALEWSKI, M. KONIORCZYK, M. SCHMEIDEL, E.
Original Title
An application of a diffeomorphism theorem to Volterra integral operator
Type
journal article in Web of Science
Language
English
Original Abstract
Using global diffeomorphism theorem based on duality mapping and mountain geometry, we investigate the properties of the Volterra operator given pointwise for t is an element of [0,1] by V(x) (t) = x(t) + integral(t)(0) v(t, tau, x(tau))d tau, x(0) = 0.
Keywords
diffeomorphism, Volterra integral operator, duality mapping
Authors
DIBLÍK, J.; GALEWSKI, M.; KONIORCZYK, M.; SCHMEIDEL, E.
Released
11. 9. 2018
Publisher
Khayyam Publishing, Inc.
ISBN
0893-4983
Periodical
Differential and Integral Equations
Year of study
31
Number
7-8
State
United States of America
Pages from
621
Pages to
642
Pages count
22
URL
https://projecteuclid.org/euclid.die/1526004033
BibTex
@article{BUT150427, author="Josef {Diblík} and Marek {Galewski} and Marcin {Koniorczyk} and Ewa {Schmeidel}", title="An application of a diffeomorphism theorem to Volterra integral operator", journal="Differential and Integral Equations", year="2018", volume="31", number="7-8", pages="621--642", issn="0893-4983", url="https://projecteuclid.org/euclid.die/1526004033" }