The generalized boundary value problem is a Fredholm mapping of index zero

Boris Rudolf

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 1, page 55-58
  • ISSN: 0044-8753

Abstract

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In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero.

How to cite

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Rudolf, Boris. "The generalized boundary value problem is a Fredholm mapping of index zero." Archivum Mathematicum 031.1 (1995): 55-58. <http://eudml.org/doc/247678>.

@article{Rudolf1995,
abstract = {In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero.},
author = {Rudolf, Boris},
journal = {Archivum Mathematicum},
keywords = {generalized BVP; Fredholm mapping; generalized boundary value problem; th order linear differential equation; Fredholm mapping of index zero},
language = {eng},
number = {1},
pages = {55-58},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The generalized boundary value problem is a Fredholm mapping of index zero},
url = {http://eudml.org/doc/247678},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Rudolf, Boris
TI - The generalized boundary value problem is a Fredholm mapping of index zero
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 1
SP - 55
EP - 58
AB - In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero.
LA - eng
KW - generalized BVP; Fredholm mapping; generalized boundary value problem; th order linear differential equation; Fredholm mapping of index zero
UR - http://eudml.org/doc/247678
ER -

References

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  1. Ordinary differential equations, John Wiley & Sons, New York-London-Sydney, 1964. (1964) Zbl0125.32102MR0171038
  2. Fredholm mappings and the generalized boundary value problem, Differential and Integral Equations 8 (1995), 19–40. (1995) MR1296108
  3. Functional analysis, Nauka, Moscow, 1980. (Russian) (1980) Zbl0517.46001MR0598629

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