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

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    0446810 - MÚ 2016 RIV US eng J - Journal Article
    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
    Institutional support: RVO:67985840
    Keywords : higher order nonlinear functional-differential equations * two-point right-focal boundary value problem * strong singularity
    Subject RIV: BA - General Mathematics
    Impact factor: 0.642, year: 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.
    Permanent Link: http://hdl.handle.net/11104/0248778
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    Mukhigulashvili.pdf41.3 MBPublisher’s postprintopen-access
     
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