On an effective criterion of solvability of boundary value problems for ordinary differential equation of n -th order

Anh Tuan Nguyen

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 4, page 451-460
  • ISSN: 0044-8753

Abstract

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New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of n -th order with certain functional boundary conditions are constructed by a method of a priori estimates.

How to cite

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Nguyen, Anh Tuan. "On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order." Archivum Mathematicum 041.4 (2005): 451-460. <http://eudml.org/doc/249474>.

@article{Nguyen2005,
abstract = {New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by a method of a priori estimates.},
author = {Nguyen, Anh Tuan},
journal = {Archivum Mathematicum},
keywords = {boundary value problem with functional condition; differential equation of $n$-th order; method of a priori estimates; differential inequalities; method of a priori estimates; differential inequalities},
language = {eng},
number = {4},
pages = {451-460},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order},
url = {http://eudml.org/doc/249474},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Nguyen, Anh Tuan
TI - On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$-th order
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 4
SP - 451
EP - 460
AB - New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by a method of a priori estimates.
LA - eng
KW - boundary value problem with functional condition; differential equation of $n$-th order; method of a priori estimates; differential inequalities; method of a priori estimates; differential inequalities
UR - http://eudml.org/doc/249474
ER -

References

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  1. Gegelia G. T., Ob odnom klasse nelineinykh kraevykh zadach, Trudy IPM Im. Vekua TGU 3 (1988), 53–71. (1988) 
  2. Hartman P., Ordinary differential equations, John Wiley & Sons, 1964. (1964) Zbl0125.32102MR0171038
  3. Kiguradze I., Boundary value problems for systems of ordinary differential equations, (Russian), Current problems in mathematics. Newest results, VINI’TI, Moscow 30 (1987), 3–103. (1987) Zbl0782.34025MR0925829
  4. Půža B., Sur certains problemes aux limites pour des equations differentielles ordinaires d’ordre n , Seminaire de math. (Nouvelle série), IMPA UC Louvain-la-Neuve, Rapport No 24, Mai 1983, 1–6. (1983) 
  5. Nguyen Anh Tuan, On one class of solvable boundary value problems for ordinary differential equation of n -th order, Comment. Math. Univ. Carolin. 35, 2 (1994), 299–309. (1994) Zbl0841.34020MR1286577

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