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Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications

Author

Listed:
  • Aigerim Kalybay

    (Department of Economics, KIMEP University, 4 Abay Ave., Almaty 050010, Kazakhstan
    These authors contributed equally to this work.)

  • Ryskul Oinarov

    (Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaytpasov St., Nur-Sultan 010008, Kazakhstan
    These authors contributed equally to this work.)

  • Yaudat Sultanaev

    (Faculty of Physics and Mathematics, Akmulla Bashkir State Pedagogical University, 3a Oktyabrskoy Revolutsii St., 450000 Ufa, Russia
    These authors contributed equally to this work.)

Abstract

In the paper, we establish the oscillatory and spectral properties of a class of fourth-order differential operators in dependence on integral behavior of its coefficients at zero and infinity. In order to obtain these results, we investigate a certain weighted second-order differential inequality of independent interest.

Suggested Citation

  • Aigerim Kalybay & Ryskul Oinarov & Yaudat Sultanaev, 2021. "Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications," Mathematics, MDPI, vol. 9(21), pages 1-22, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2830-:d:674752
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    References listed on IDEAS

    as
    1. Raghavacahari M, 1973. "A Necessary and Sufficient Condition for A Matrix to be Totally Unimodular," IIMA Working Papers WP1973-09-01_00084, Indian Institute of Management Ahmedabad, Research and Publication Department.
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