On one class of solvable boundary value problems for ordinary differential equation of n -th order

Nguyen Anh Tuan

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 299-309
  • ISSN: 0010-2628

Abstract

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

How to cite

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Tuan, Nguyen Anh. "On one class of solvable boundary value problems for ordinary differential equation of $n$-th order." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 299-309. <http://eudml.org/doc/247616>.

@article{Tuan1994,
abstract = {New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by the method of a priori estimates.},
author = {Tuan, Nguyen Anh},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {boundary problem with functional conditions; differential equations of $n$-th order; method of a priori estimates; differential inequalities; boundary value problem; nonlinear ordinary differential equation of th order; a priori estimates},
language = {eng},
number = {2},
pages = {299-309},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On one class of solvable boundary value problems for ordinary differential equation of $n$-th order},
url = {http://eudml.org/doc/247616},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Tuan, Nguyen Anh
TI - On one class of solvable boundary value problems for ordinary differential equation of $n$-th order
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 299
EP - 309
AB - New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of $n$-th order with certain functional boundary conditions are constructed by the method of a priori estimates.
LA - eng
KW - boundary problem with functional conditions; differential equations of $n$-th order; method of a priori estimates; differential inequalities; boundary value problem; nonlinear ordinary differential equation of th order; a priori estimates
UR - http://eudml.org/doc/247616
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. 
  2. Hartman F., Ordinary differential equation, John Wiley & Sons, 1964. Zbl0196.10703MR0171038
  3. Kiguradze I.T., Kraevye zadachi dlya sistem obyknovennykh differencialnykh uravnenii, Sovremennye problemy matematiki. Noveishie dostizheniya (Itogi nauki i tekhniki, Viniti AM SSSR), Moskva (1987), 3-103. 
  4. Půža B., On one class of solvable boundary value problems for ordinary differential equation of n -th problem, Comment. Math. Univ. Carolinae 30 (1989), 565-577. (1989) MR1031873

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