Publication 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

Type

journal article in Web of Science

Language

English

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.

Keywords

fourth order nonlinear ordinary differential equation; resonance

Authors

MUKHIGULASHVILI, S.; MANJIKASHVILI, M.

Released

30. 9. 2020

ISBN

1068-3623

Periodical

J CONTEMP MATH ANAL+

Year of study

55

Number

5

State

Republic of Armenia

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="J CONTEMP MATH ANAL+",
  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"
}