On solutions of Rashevskii equation
Dryuma Valerii
TL;DR
This paper investigates solutions to Rashevskii's equation related to gonometric families of plane curves, exploring their properties and connections to duality in second order ODEs.
Contribution
It provides a detailed analysis of Rashevskii equation solutions and discusses their relationship with duality theory in second order differential equations.
Findings
Properties of solutions are characterized.
Connection with duality in second order ODEs is established.
Insights into gonometric family structures are provided.
Abstract
The solutions of Rashevskii equation for gonometric family of plane curves are considered. Their properties are studied. The connection with the theory of duality for the second order ODE's is discussed.
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Taxonomy
Topicsadvanced mathematical theories · Differential Equations and Boundary Problems · Optical properties and cooling technologies in crystalline materials