On a multipoint boundary value problem for linear ordinary differential equations with singularities

G. D. Tskhovrebadze

Archivum Mathematicum (1994)

  • Volume: 030, Issue: 3, page 171-206
  • ISSN: 0044-8753

Abstract

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A criterion for the unique solvability of and sufficient conditions for the correctness of the modified Vallèe-Poussin problem are established for the linear ordinary differential equations with singularities.

How to cite

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Tskhovrebadze, G. D.. "On a multipoint boundary value problem for linear ordinary differential equations with singularities." Archivum Mathematicum 030.3 (1994): 171-206. <http://eudml.org/doc/247553>.

@article{Tskhovrebadze1994,
abstract = {A criterion for the unique solvability of and sufficient conditions for the correctness of the modified Vallèe-Poussin problem are established for the linear ordinary differential equations with singularities.},
author = {Tskhovrebadze, G. D.},
journal = {Archivum Mathematicum},
keywords = {linear ordinary differential equation with singularities; modified Vallèe-Poussin problem; unique solvability; correctness; modified Vallé-Poisson problem; linear multipoint boundary value problem; unique solvability},
language = {eng},
number = {3},
pages = {171-206},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a multipoint boundary value problem for linear ordinary differential equations with singularities},
url = {http://eudml.org/doc/247553},
volume = {030},
year = {1994},
}

TY - JOUR
AU - Tskhovrebadze, G. D.
TI - On a multipoint boundary value problem for linear ordinary differential equations with singularities
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 3
SP - 171
EP - 206
AB - A criterion for the unique solvability of and sufficient conditions for the correctness of the modified Vallèe-Poussin problem are established for the linear ordinary differential equations with singularities.
LA - eng
KW - linear ordinary differential equation with singularities; modified Vallèe-Poussin problem; unique solvability; correctness; modified Vallé-Poisson problem; linear multipoint boundary value problem; unique solvability
UR - http://eudml.org/doc/247553
ER -

References

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  1. Sur l’equation differentielle lineaire du second ordre., Determination d’une integrale par deux valeurs assignees. Extension aux equation d’ordre . J. Math. pures et appl. (1929) 8, No. 2, 125-144. 
  2. On a singular multi-point boundary value problem, Ann. Math. pura ed appl. 86 (1970), 367-400. (1970) Zbl0251.34012MR0271449
  3. Some singular boundary value problems for ordinary differential equations, Tbilisi: Izd-vo Tbilisskogo Univ. (1975), 352. (in Russian) (1975) MR0499402
  4. The boundary value problems for systems of ordinary differential equations, (Itogi nauki i tekhniki. VINITI AN SSSR), Sovremennie problemi matematiki. Noveishie dostijenia T. 30 (1987), 3-103. (in Russian) (1987) MR0925829
  5. On some estimates of Green’s functions for multipoint boundary value problem, Mat. zametki 4 No. 5 (1968), 533-540. (in Russian) (1968) 
  6. On a singular boundary value problem of the Vallèe Poussin’s type, Trudy Inst. Prikl. Math. Tbilisskogo Univ. 31 (1988), 179-194. (in Russian) (1988) MR1001347
  7. Green’s function inequalities for two point boundary value problem, Pacif. J. Math. 59, No. 2 (1975), 327-343. (1975) MR0437841

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