Detail publikačního výsledku

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

MUKHIGULASHVILI, S.; PŮŽA, B.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

higher order nonlinear functional-differential equations; two-point right-focal boundary value problem; strong singularity; Fredholm property

Klíčová slova v angličtině

higher order nonlinear functional-differential equations; two-point right-focal boundary value problem; strong singularity; Fredholm property

Autoři

MUKHIGULASHVILI, S.; PŮŽA, B.

Rok RIV

2016

Vydáno

30.01.2015

Nakladatel

Springer Nature

Místo

Heidlberg

ISSN

1687-2770

Periodikum

Boundary Value Problems

Svazek

2015

Číslo

17

Stát

Spojené státy americké

Strany od

1

Strany do

21

Strany počet

21

URL

http://www.boundaryvalueproblems.com/content/2015/1/17

Plný text v Digitální knihovně

http://hdl.handle.net/11012/137373

BibTex

@article{BUT114435,
  author="Sulkhan {Mukhigulashvili} and Bedřich {Půža}",
  title="The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations",
  journal="Boundary Value Problems",
  year="2015",
  volume="2015",
  number="17",
  pages="1--21",
  doi="10.1186/s13661-014-0277-1",
  issn="1687-2770",
  url="http://www.boundaryvalueproblems.com/content/2015/1/17"
}

Dokumenty

s13661-014-0277-1