Email this article ON THE SPECTRAL PROBLEM AND POSITIVE SOLUTIONS FOR A FUNCTIONAL-DIFFERENTIAL EQUATION OF THE EVEN ORDER
- Authors: Alves M.J.1, Labovskiy S.M.2
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Affiliations:
- Eduardo Mondlane University
- Plekhanov Russian University of Economics
- Issue: Vol 23, No 122 (2018)
- Pages: 154-157
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/297218
- DOI: https://doi.org/10.20310/1810-0198-2018-23-122-154-157
- ID: 297218
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Abstract
Basic properties of the system of eigenfunctions for even order functional differential equation under special boundary conditions are obtained. Equivalence of a serie of classical affirmations is established. Among them are the Vallee-Poussin affirmation and positivity of the corresponding quadratic functional.
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Рассматривается задача Lu = f при краевых условиях×
About the authors
Manuel Joaquim Alves
Eduardo Mondlane University
Email: mjalves.moz@gmail.com
Ph. D., Full Professor of Mathematics Department 257 Praca 25 de Junho, Maputo CP 257, Mocambique
Sergey Mikhailovich Labovskiy
Plekhanov Russian University of Economics
Email: labovski@gmail.com
Candidate of Physics and Mathematics, Associate Professor of the High Mathematics Department Stremyanny Lane, 36, Moscow 117997, Russian Federation
References
- Лабовский С.М. О положительных решениях линейных функционально-дифференциальных уравнений // Дифференциальные уравнения. 1984. Т. 20. № 4. С. 578-584.
- Labovskiy S. On spectral problem and positive solutions of a linear singular functionaldifferential equation // Functional Differential Equations. 2013. Vol. 20. № 3-4. P. 179-200.
- Ch. J. de la Vall´ee-Poussin. Sur l’equation differentielle lineare du second ordre // J. Math. Pures et Appl. 1929. Vol. 9. № 8. P. 125-144. JFM 55.0850.02.
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