On a class of diffeomorphisms defined by integro-differential operators

Dariusz Idczak; A. Skowron; S. Walczak

Banach Center Publications (2014)

  • Volume: 101, Issue: 1, page 77-86
  • ISSN: 0137-6934

Abstract

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We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.

How to cite

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Dariusz Idczak, A. Skowron, and S. Walczak. "On a class of diffeomorphisms defined by integro-differential operators." Banach Center Publications 101.1 (2014): 77-86. <http://eudml.org/doc/282291>.

@article{DariuszIdczak2014,
abstract = {We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.},
author = {Dariusz Idczak, A. Skowron, S. Walczak},
journal = {Banach Center Publications},
keywords = {integro-differential equation; diffeomorphism; Palais-Smale condition},
language = {eng},
number = {1},
pages = {77-86},
title = {On a class of diffeomorphisms defined by integro-differential operators},
url = {http://eudml.org/doc/282291},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Dariusz Idczak
AU - A. Skowron
AU - S. Walczak
TI - On a class of diffeomorphisms defined by integro-differential operators
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 77
EP - 86
AB - We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.
LA - eng
KW - integro-differential equation; diffeomorphism; Palais-Smale condition
UR - http://eudml.org/doc/282291
ER -

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