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.
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References
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Additional information
Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1433–1441, October, 1999.
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Kolomiets, O.V. On the application of numerical methods to the solution of nonlinear second-order differential equations with random deviations of argument. Ukr Math J 51, 1617–1626 (1999). https://doi.org/10.1007/BF02981695
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DOI: https://doi.org/10.1007/BF02981695