Email this article Global solvability tests for a scalar Riccati equation with complex coefficients
- Authors: Grigoryan G.A.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 53, No 4 (2017)
- Pages: 450-456
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154340
- DOI: https://doi.org/10.1134/S0012266117040048
- ID: 154340
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Abstract
We obtain two global solvability tests for a scalar Riccati equation with complex coefficients. One of them is used to prove a test for the existence of a solution of the Redheffer system, which arises when studying a physical model of electromagnetic wave distribution in a transmission line and in a physical model of diffraction of particles along a rod.
About the authors
G. A. Grigoryan
Institute of Mathematics
Author for correspondence.
Email: mathphys2@instmath.sci.am
Armenia, Yerevan, 375019
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