Publication result detail

The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

MUKHIGULASHVILI, S.; PŮŽA, B.

Original Title

The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

English Title

The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

Type

WoS Article

Original Abstract

The a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on 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 right-focal boundary conditions.

English abstract

The a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on 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 right-focal boundary conditions.

Keywords

higher order nonlinear functional-differential equations; two-point right-focal boundary value problem; strong singularity; Fredholm property

Key words in English

higher order nonlinear functional-differential equations; two-point right-focal boundary value problem; strong singularity; Fredholm property

Authors

MUKHIGULASHVILI, S.; PŮŽA, B.

RIV year

2016

Released

30.01.2015

Publisher

Springer Nature

Location

Heidlberg

ISBN

1687-2770

Periodical

Boundary Value Problems

Volume

2015

Number

17

State

United States of America

Pages from

1

Pages to

21

Pages count

21

URL

http://www.boundaryvalueproblems.com/content/2015/1/17

Full text in the Digital Library

http://hdl.handle.net/11012/137373

BibTex

@article{BUT114435,
  author="Sulkhan {Mukhigulashvili} and Bedřich {Půža}",
  title="The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations",
  journal="Boundary Value Problems",
  year="2015",
  volume="2015",
  number="17",
  pages="1--21",
  doi="10.1186/s13661-014-0277-1",
  issn="1687-2770",
  url="http://www.boundaryvalueproblems.com/content/2015/1/17"
}

Documents

s13661-014-0277-1