Publication 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
Type
journal article - other
Language
English
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.
Keywords
higher order functional-differential equation; Dirichlet boundary value problem; strong singularity
Authors
MUKHIGULASHVILI, S.
RIV year
2013
Released
2. 12. 2013
Publisher
Institute of Mathematics of the Academy of Sciences of the Czech Republic
Location
Praha
ISBN
0011-4642
Periodical
Czechoslovak Mathematical Journal
Year of study
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"
}