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The Stieltjes string model with external load

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  • Dilna, N.
  • Fečkan, M.

Abstract

The following model p(t)u′(t)−p(0)φ1(u)−∫0t(gu)(s)dQ(s)=F(t)of the Stieltjes string on segment [0, l] with a nonlocal boundary value condition u(0)=φ0(u) is considered. Optimal conditions on a unique solvability of the mentioned problem are established.

Suggested Citation

  • Dilna, N. & Fečkan, M., 2018. "The Stieltjes string model with external load," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 350-359.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:350-359
    DOI: 10.1016/j.amc.2018.05.026
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    References listed on IDEAS

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    1. S. M. Afonso & A. Rontó, 2013. "Measure Functional Differential Equations in the Space of Functions of Bounded Variation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
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    Cited by:

    1. Natalia Dilna & Michal Fečkan, 2022. "Exact Solvability Conditions for the Non-Local Initial Value Problem for Systems of Linear Fractional Functional Differential Equations," Mathematics, MDPI, vol. 10(10), pages 1-15, May.

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