Analysis of solutions of a nonlinear scalar field differential equation


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Abstract

We consider a nonlinear differential equation arising in mathematical models of elementary particle theory. For this equation, we examine questions of the extendability of solutions, the boundedness of solutions at infinity, and the search for new conditions for the existence of a positive particle-like solution.

About the authors

E. M. Muhamadiev

Vologda State University

Author for correspondence.
Email: emuhamadiev@rambler.ru
Russian Federation, Vologda

A. N. Naimov

Vologda State University

Email: emuhamadiev@rambler.ru
Russian Federation, Vologda

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