The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

0446810 - MÚ 2016 RIV US eng J - Článek v odborném periodiku
Mukhigulashvili, Sulkhan - Půža, B.
The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations.
Boundary Value Problems. Roč. 2015, January (2015), s. 17. ISSN 1687-2770. E-ISSN 1687-2770
Institucionální podpora: RVO:67985840
Klíčová slova: higher order nonlinear functional-differential equations * two-point right-focal boundary value problem * strong singularity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.642, rok: 2015
http://link.springer.com/article/10.1186%2Fs13661-014-0277-1

The a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on 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 right-focal boundary conditions.
Trvalý link: http://hdl.handle.net/11104/0248778