Publication result detail

The Dirichlet Problem for the Fourth Order Nonlinear Ordinary Differential Equations at Resonance

MUKHIGULASHVILI, S.; MANJIKASHVILI, M.

Original Title

The Dirichlet Problem for the Fourth Order Nonlinear Ordinary Differential Equations at Resonance

English Title

The Dirichlet Problem for the Fourth Order Nonlinear Ordinary Differential Equations at Resonance

Type

WoS Article

Original Abstract

Landesman-Lazer's type efficient sufficient conditions are established for the solvability of the two-point boundary value problem. The results obtained in the paper are optimal in the sense that if f = 0, i.e. when nonlinear equation turns to the linear equation, from our results follows the first part of Fredholm's theorem.

English abstract

Landesman-Lazer's type efficient sufficient conditions are established for the solvability of the two-point boundary value problem. The results obtained in the paper are optimal in the sense that if f = 0, i.e. when nonlinear equation turns to the linear equation, from our results follows the first part of Fredholm's theorem.

Keywords

fourth order nonlinear ordinary differential equation; resonance

Key words in English

fourth order nonlinear ordinary differential equation; resonance

Authors

MUKHIGULASHVILI, S.; MANJIKASHVILI, M.

RIV year

2021

Released

30.09.2020

ISBN

1068-3623

Periodical

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences

Volume

55

Number

5

State

United States of America

Pages from

291

Pages to

302

Pages count

12

URL

https://link.springer.com/article/10.3103/S1068362320050039

BibTex

@article{BUT167264,
  author="Sulkhan {Mukhigulashvili} and Mariam {Manjikashvili}",
  title="The Dirichlet Problem for the Fourth Order Nonlinear Ordinary Differential Equations at Resonance",
  journal="Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences",
  year="2020",
  volume="55",
  number="5",
  pages="291--302",
  doi="10.3103/S1068362320050039",
  issn="1068-3623",
  url="https://link.springer.com/article/10.3103/S1068362320050039"
}