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Some Transcendental Equations with Trigonometric and Hyperbolic Functions


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Abstract

Eigenvalues of many spectral problems for differential equations are the roots of transcendental equations. In this article we prove the statements about the roots of some equations with trigonometric and hyperbolic functions. These equations have countable sets of real and pure imaginary roots.

About the authors

A. Gimaltdinova

Ufa State Petroleum Technological University

Author for correspondence.
Email: alfiragimaltdinova@mail.ru
Russian Federation, ul. Kosmonavtov 1, Ufa, 450062

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