Publication detail

Two-point boundary value problems for 4th order ordinary differential equations

MANJIKASHVILI, M. MUKHIGULASHVILI, S.

Original Title

Two-point boundary value problems for 4th order ordinary differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

The new optimal efficient sufficient conditions are established for solvability and uniqueness of a solution of the linear and nonlinear fourth order ordinary differential equations u ( 4 ) ( t ) = p ( t ) u ( t )+ q ( t ) for t E [ a , b ] , u ( 4 ) ( t ) = p ( t ) u ( t ) + f ( t , u ( t )) for t E [ a , b ] , under the following two -point boundary conditions u ( i ) ( a ) = 0 , u ( i ) ( b ) = 0 ( i = 0 , 1 ) , and u ( i ) ( a ) = 0 ( i = 0 , 1 , 2 ) , u ( b ) = 0 , where p E L ([ a , b ] ; R ) is a nonconstant sign function and f E K ([ a , b ] x R; R ) .

Keywords

fourth order nonlinear ordinary differential equation; solvability; boundary value problem

Authors

MANJIKASHVILI, M.; MUKHIGULASHVILI, S.

Released

1. 5. 2024

Publisher

University of Miskolc

ISBN

1787-2413

Periodical

Miskolc Mathematical Notes (electronic version)

Year of study

25

Number

1

State

Hungary

Pages from

339

Pages to

409

Pages count

11

URL

http://mat76.mat.uni-miskolc.hu/mnotes/article/4481

Full text in the Digital Library

http://hdl.handle.net/11012/249492

BibTex

@article{BUT189515,
  author="Mariam {Manjikashvili} and Sulkhan {Mukhigulashvili}",
  title="Two-point boundary value problems for 4th order ordinary differential equations",
  journal="Miskolc Mathematical Notes (electronic version)",
  year="2024",
  volume="25",
  number="1",
  pages="339--409",
  doi="10.18514/MMN.2024.4481",
  issn="1787-2413",
  url="http://mat76.mat.uni-miskolc.hu/mnotes/article/4481"
}