Publication detail

THE NONLOCAL BOUNDARY VALUE PROBLEMS FOR STRONGLY SINGULAR HIGHER-ORDER NONLINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS

MUKHIGULASHVILI, S.

Original Title

THE NONLOCAL BOUNDARY VALUE PROBLEMS FOR STRONGLY SINGULAR HIGHER-ORDER NONLINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS

Type

journal article in Web of Science

Language

English

Original Abstract

A priori boundedness principle is proven for the nonlocal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several suicient 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 nonlocal boundary conditions.

Keywords

Higher order functional-differential equations, Dirichlet boundary value problem, strong singularity, Fredholm property, a priori boundedness principle.

Authors

MUKHIGULASHVILI, S.

RIV year

2015

Released

31. 12. 2015

Publisher

Udine University

Location

Udine

ISBN

1126-8042

Periodical

Italian Journal of Pure and Applied Mathematics

Year of study

2015

Number

35

State

Republic of Italy

Pages from

23

Pages to

50

Pages count

28

BibTex

@article{BUT122234,
  author="Sulkhan {Mukhigulashvili}",
  title="THE NONLOCAL BOUNDARY VALUE PROBLEMS FOR STRONGLY SINGULAR HIGHER-ORDER NONLINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS",
  journal="Italian Journal of Pure and Applied Mathematics",
  year="2015",
  volume="2015",
  number="35",
  pages="23--50",
  issn="1126-8042"
}