1. The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations
- Creator:
- Mukhigulashvili, Sulkhan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- higher order functional-differential equation, Dirichlet boundary value problem, strong singularity, Fredholm property, and a priori boundedness principle
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public