Publication result detail

The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations

MUKHIGULASHVILI, S.

Original Title

The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations

English Title

The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The a priori boundedness principle is proved for the Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the Dirichlet problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on the Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point conjugate and right-focal boundary conditions.

English abstract

The a priori boundedness principle is proved for the Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the Dirichlet problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on the Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point conjugate and right-focal boundary conditions.

Keywords

higher order functional-differential equation; Dirichlet boundary value problem; strong singularity

Key words in English

higher order functional-differential equation; Dirichlet boundary value problem; strong singularity

Authors

MUKHIGULASHVILI, S.

RIV year

2014

Released

02.12.2013

Publisher

Institute of Mathematics of the Academy of Sciences of the Czech Republic

Location

Praha

ISBN

0011-4642

Periodical

CZECHOSLOVAK MATHEMATICAL JOURNAL

Volume

68

Number

1

State

Czech Republic

Pages from

235

Pages to

263

Pages count

28

BibTex

@article{BUT106950,
  author="Sulkhan {Mukhigulashvili}",
  title="The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations",
  journal="CZECHOSLOVAK MATHEMATICAL JOURNAL",
  year="2013",
  volume="68",
  number="1",
  pages="235--263",
  issn="0011-4642"
}