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

Title:

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

Creator:

Mukhigulashvili, Sulkhan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b77c00cd-f06c-40c7-ae4e-24b70c6971d7
uuid:b77c00cd-f06c-40c7-ae4e-24b70c6971d7

Subject:

higher order functional-differential equation, Dirichlet boundary value problem, strong singularity, Fredholm property, and a priori boundedness principle

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

235-263

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:1

Harvested from:

CDK

Metadata only:

false