Detail publikačního výsledku

Weighted Cauchy Problem for Nonlinear Singular Weighted Cauchy Problem for Nonlinear Singular Differential Equations with Deviating Arguments

PŮŽA, B.; SOKHADZE, Z.

Original Title

Weighted Cauchy Problem for Nonlinear Singular Weighted Cauchy Problem for Nonlinear Singular Differential Equations with Deviating Arguments

English Title

Weighted Cauchy Problem for Nonlinear Singular Weighted Cauchy Problem for Nonlinear Singular Differential Equations with Deviating Arguments

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

For higher-order nonlinear differential equations with deviating arguments and with nonintegrable singularities with respect to the time variable, we establish sharp sufficient conditions for the Cauchy problem to be solvable and well-posed.

English abstract

For higher-order nonlinear differential equations with deviating arguments and with nonintegrable singularities with respect to the time variable, we establish sharp sufficient conditions for the Cauchy problem to be solvable and well-posed.

Keywords

nelineynye differentsial'nye uravnenia vysshikh poryadkov, otklonyayushchiesa argumenty , neintegriruyemyye singulyarnosti otnositel'no vremennoy peremennoy, usloviya razreshimosti i korrektnosti, vesovaia zadacha Koshi

Key words in English

higher-order nonlinear diferential equations, deviating arguments, nonintegrable singularities with respect to the time variable, Cauchy problem, solvability, well-posed

Authors

PŮŽA, B.; SOKHADZE, Z.

RIV year

2014

Released

31.01.2013

Publisher

Moskow National Academy of Sciences

Location

Moskva

ISBN

0012-2661

Periodical

DIFFERENTIAL EQUATIONS

Volume

49

Number

1

State

Russian Federation

Pages from

33

Pages to

45

Pages count

11

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT100212,
  author="Bedřich {Půža} and Z. {Sokhadze}",
  title="Weighted Cauchy Problem for Nonlinear Singular Weighted Cauchy Problem for Nonlinear Singular Differential Equations with Deviating Arguments",
  journal="DIFFERENTIAL EQUATIONS",
  year="2013",
  volume="49",
  number="1",
  pages="33--45",
  issn="0012-2661"
}