An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel

Wysocki, Hubert; Zellma, Marek

Fractional Calculus and Applied Analysis (2005)

  • Volume: 8, Issue: 4, page 343-360
  • ISSN: 1311-0454

Abstract

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Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.

How to cite

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Wysocki, Hubert, and Zellma, Marek. "An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel." Fractional Calculus and Applied Analysis 8.4 (2005): 343-360. <http://eudml.org/doc/11244>.

@article{Wysocki2005,
abstract = {Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.},
author = {Wysocki, Hubert, Zellma, Marek},
journal = {Fractional Calculus and Applied Analysis},
keywords = {44A40; 45B05},
language = {eng},
number = {4},
pages = {343-360},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel},
url = {http://eudml.org/doc/11244},
volume = {8},
year = {2005},
}

TY - JOUR
AU - Wysocki, Hubert
AU - Zellma, Marek
TI - An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel
JO - Fractional Calculus and Applied Analysis
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 4
SP - 343
EP - 360
AB - Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
LA - eng
KW - 44A40; 45B05
UR - http://eudml.org/doc/11244
ER -

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