Correct and Coercive Solvability Conditions for a Degenerate High Order Differential Equation


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Authors

  • Raya Akhmetkaliyeva
  • Togzhan Mukasheva
  • Kordan Ospanov

DOI:

https://doi.org/10.32523/2077-9879-2023-14-4-09-14

Keywords:

degenerate fifth-order differential equation, unbounded coefficient, generalized solution, correct solvability, coercive estimate

Abstract

The paper considers a fifth-order singular differential equation with variable coefficients. It studies a new degenerate case with faster-growing intermediate coefficients and a non-sign-definite potential. Sufficient conditions for the existence and uniqueness of the generalized solution are obtained, along with a coercive estimate.

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Published

2023-12-30

How to Cite

Akhmetkaliyeva, R., Mukasheva, T., & Ospanov, K. (2023). Correct and Coercive Solvability Conditions for a Degenerate High Order Differential Equation. Eurasian Mathematical Journal, 14(4), 09–14. https://doi.org/10.32523/2077-9879-2023-14-4-09-14

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Section

Articles