Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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ON PERIODIC SPECTRAL PROBLEM FOR A FUNCTIONAL-DIFFERENTIAL EQUATION OF EVEN ORDER

Authors

  • Elena Alves
  • Manuel Alves
  • Sergey Labovskiy

Keywords:

quadratic functional, periodic positive solutions, spectrum.

DOI:

https://doi.org/10.17654/0972096022018

Abstract

We establish the basic property of the system of eigenfunctions and the positivity of the Green function for a self-adjoint boundary value problem of a functional-differential equation of even order.

Received: October 8, 2022
Accepted: November 15, 2022

References

M. Alves and S. Labovskiy, On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order, Electronic Journal of Qualitative Theory of Differential Equations 2019 (2019), 1-14.

S. Labovskiy, On spectral problem and positive solutions of a linear singular functional-differential equation, Functional Differential Equations 20 (2013), 179 200. Zbl 1318.34088.

M. Alves and S. Labovskiy, On the spectral properties and positivity of solutions of a second-order functional differential equation, Russian Universities Reports. Mathematics, 25 (2020), pp. 123-130. https://elibrary.ru/item.asp?id=43145436, doi: 10.20310/2686-9667-2020-25-130-123-130.

M. S. Birman and M. Z. Solomjak, Spectral Theory of Self-adjoint Operators in Hilbert Space, D. Reidel Publishing Company, Holland, 1987. Zbl 0744.47017.

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Published

2022-12-05

Issue

Vol. 115 (2022)

Section

Articles

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Copyright (c) 2022 Elena Alves, Manuel Alves , Sergey Labovskiy

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

ON PERIODIC SPECTRAL PROBLEM FOR A FUNCTIONAL-DIFFERENTIAL EQUATION OF EVEN ORDER. (2022). Far East Journal of Applied Mathematics, 115, 61-68. https://doi.org/10.17654/0972096022018

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