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

0391446 - MÚ 2014 RIV CZ eng J - Článek v odborném periodiku
Mukhigulashvili, Sulkhan
The Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations.
Czechoslovak Mathematical Journal. Roč. 63, č. 1 (2013), s. 235-263. ISSN 0011-4642. E-ISSN 1572-9141
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: higher order functional-differential equation * Dirichlet boundary value problem * strong singularity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.294, rok: 2013
http://www.dml.cz/handle/10338.dmlcz/143182

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.
Trvalý link: http://hdl.handle.net/11104/0220496