Global solvability tests for a scalar Riccati equation with complex coefficients

Global solvability tests for a scalar Riccati equation with complex coefficients

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...

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Veröffentlicht in:Differential equations 2017-04, Vol.53 (4), p.450-456
1. Verfasser: Grigoryan, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Difference and Functional Equations
Differential equations
Electromagnetic radiation
Electromagnetics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Riccati equation
Wave diffraction
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Zusammenfassung: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266117040048