2017
Том 69
№ 6

All Issues

On the application of numerical methods to the solution of nonlinear second-order differential equations with random deviations of argument

Kolomiets O. V.

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Abstract

We consider the application of the Krylov-Bogolyubov-Mitropol’skii asymptotic method and Runge-Kutta methods to the investigation of oscillating solutions of quasilinear second-order differential equations with random deviations of argument. For specific equations, we obtain approximate numerical solutions and characteristics of random oscillations.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1617-1626.

Citation Example: Kolomiets O. V. On the application of numerical methods to the solution of nonlinear second-order differential equations with random deviations of argument // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1433–1441.

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