Материалы международной научной конференции «Уфимская осенняя математическая школа» (г. Уфа, 28 сентября – 1 октября 2022 г.). Том 2 / отв. редактор З.Ю. Фазуллин. - Уфа: РИЦ БашГУ, 2022. - 472 с.

MODELLING AN EARTHQUAKE USING A BI-NONLINEAR VOLTERRA INTEGRAL EQUATION

MODELLING AN EARTHQUAKE USING A BI-NONLINEAR VOLTERRA INTEGRAL EQUATION

This work is devoted to study a construction of a modern scientific demonstration dealing with the seismic tremor wonder. The originality of our study, is that we use a nonconstant contact resistance. Our earthquake model is represented by the bi-nonlinear Volterra equation. We show that this equation admits a unique solution under some reasonable conditions. Numerical tests show that our practical study superbly addresses this physical phenomenon.