On the application of numerical methods to the solution of nonlinear second-order differential equations with random deviations of argument
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 so...
Saved in:
| Date: | 1999 |
|---|---|
| Main Authors: | Kolomiets, O. V., Коломієць, О. В. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4744 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On analytic solutions of nonlinear differential functional equations with nonlinear deviations of arguments
by: Pelyukh, G. P., et al.
Published: (1999)
by: Pelyukh, G. P., et al.
Published: (1999)
Behavior of solutions of differential equations with deviating argument
by: Hormozi, M.
Published: (2012)
by: Hormozi, M.
Published: (2012)
Asymptotic Behavior of Solutions of Systems of Functional Differential Equations with Nonlinear Deviation of Argument
by: Oleinichenko, A. P., et al.
Published: (2002)
by: Oleinichenko, A. P., et al.
Published: (2002)
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients
by: Mitropolsky, Y.A., et al.
Published: (2004)
by: Mitropolsky, Y.A., et al.
Published: (2004)
On periodic solutions of systems of linear differential equations with argument deviations
by: A. Rontу, et al.
Published: (2020)
by: A. Rontу, et al.
Published: (2020)
Specific properties in solutions of differential equations with a deviating argument
by: Koplatadze , R. G., et al.
Published: (1991)
by: Koplatadze , R. G., et al.
Published: (1991)
On Global Solutions of Systems of Nonlinear Functional Differential Equations with Deviating Argument Dependent on Unknown Functions
by: Pelyukh, G. P., et al.
Published: (2002)
by: Pelyukh, G. P., et al.
Published: (2002)
Oscillation of neutral differential equations with distributed deviating arguments
by: Candan, T., et al.
Published: (2012)
by: Candan, T., et al.
Published: (2012)
Constructing global solutions of partial differential equations with deviating arguments in the time variable
by: A. M. Samoilenko, et al.
Published: (2014)
by: A. M. Samoilenko, et al.
Published: (2014)
On One Problem of the Investigation of Global Solutions of Linear Differential Equations with Deviating Argument
by: Samoilenko, A. M., et al.
Published: (2003)
by: Samoilenko, A. M., et al.
Published: (2003)
Wexler inequality and almost periodic solutions of differential equations with deviating argument of mixed type
by: Akhmet, M.U., et al.
Published: (2004)
by: Akhmet, M.U., et al.
Published: (2004)
Continuous solutions of difference-functional equations with many deviations of the argument
by: N. L. Denysenko, et al.
Published: (2021)
by: N. L. Denysenko, et al.
Published: (2021)
On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities
by: V. M. Yevtukhov, et al.
Published: (2021)
by: V. M. Yevtukhov, et al.
Published: (2021)
On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2019)
by: V. M. Evtukhov, et al.
Published: (2019)
Asymptotic behavior of solutions of essentially nonlinear second order differential equations
by: E. S. Vladova
Published: (2016)
by: E. S. Vladova
Published: (2016)
Second order nonlinear differential equations with an infinite set of periodic solutions
by: Kiguradze, I.T.
Published: (2008)
by: Kiguradze, I.T.
Published: (2008)
On the asymptotic of solutions of second-order differential
equations with rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2019)
by: Evtukhov, V. M., et al.
Published: (2019)
On the asymptotic of solutions of the second-order differential equations with rapidly varying nonlinearities
by: Evtukhov , V. M., et al.
Published: (2021)
by: Evtukhov , V. M., et al.
Published: (2021)
Oscillation criteria for higher order nonlinear functional differential equations with advanced argument
by: R. Koplatadze
Published: (2013)
by: R. Koplatadze
Published: (2013)
Oscillation criteria for higher order nonlinear functional differential equations with advanced argument
by: Koplatadze, R.
Published: (2013)
by: Koplatadze, R.
Published: (2013)
Asymptotics of solutions of the second-order differential equations with regularly and rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2018)
by: V. M. Evtukhov, et al.
Published: (2018)
Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2017)
by: V. M. Evtukhov, et al.
Published: (2017)
Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
by: O. R. Shlepakov
Published: (2015)
by: O. R. Shlepakov
Published: (2015)
Oscillation of solutions of second order nonlinear functional differential equations of neutral type
by: Ivanov, A.F., et al.
Published: (1991)
by: Ivanov, A.F., et al.
Published: (1991)
Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2008)
by: Evtukhov, V. M., et al.
Published: (2008)
Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
by: Shlepakov, O. R., et al.
Published: (2015)
by: Shlepakov, O. R., et al.
Published: (2015)
Asymptotic behavior of the solutions of second-order
differential equations with rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2017)
by: Evtukhov, V. M., et al.
Published: (2017)
Existence of the solution family of a system of linear difference equations with an argument deviation
by: Mardanov , I. Dzh., et al.
Published: (1992)
by: Mardanov , I. Dzh., et al.
Published: (1992)
On N-th order nonlinear ordinary random differential equations
by: Dhage, B.C.
Published: (2010)
by: Dhage, B.C.
Published: (2010)
On estimates of solutions of differential equations of the second order
by: Krasnoselsky, M. A., et al.
Published: (1966)
by: Krasnoselsky, M. A., et al.
Published: (1966)
A Cauchy problem for autonomous quasilinear parabolic pseudo-differential equations with argument deviation
by: Ya. M. Drin, et al.
Published: (2013)
by: Ya. M. Drin, et al.
Published: (2013)
On a mixed problem for systems of definite quasilinear partial differential equations with deviating argument
by: Marynetz, V. V., et al.
Published: (1994)
by: Marynetz, V. V., et al.
Published: (1994)
Asymptotic representations of rapidly varying solutions of essentially nonlinear differential equations of the second order
by: G. A. Gerzhanovskaja
Published: (2017)
by: G. A. Gerzhanovskaja
Published: (2017)
sFinding of periodic solutions of the ordinary nonlinear second order differential equation with the delay
by: Yu. Ye. Bokhonov
Published: (2016)
by: Yu. Ye. Bokhonov
Published: (2016)
Asymptotic representations of solutions to second order differential equations with rapidly and regularly varying nonlinearities
by: O. O. Chepok
Published: (2017)
by: O. O. Chepok
Published: (2017)
Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. II
by: Evtukhov, V. M., et al.
Published: (2006)
by: Evtukhov, V. M., et al.
Published: (2006)
Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I
by: Evtukhov, V. M., et al.
Published: (2005)
by: Evtukhov, V. M., et al.
Published: (2005)
On oscillation of solutions of second order nonlinear difference equations
by: Koplatadze, R., et al.
Published: (2012)
by: Koplatadze, R., et al.
Published: (2012)
Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations
by: Yamaoka, N., et al.
Published: (2006)
by: Yamaoka, N., et al.
Published: (2006)
Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations
by: Sugie, J., et al.
Published: (2006)
by: Sugie, J., et al.
Published: (2006)
Similar Items
-
On analytic solutions of nonlinear differential functional equations with nonlinear deviations of arguments
by: Pelyukh, G. P., et al.
Published: (1999) -
Behavior of solutions of differential equations with deviating argument
by: Hormozi, M.
Published: (2012) -
Asymptotic Behavior of Solutions of Systems of Functional Differential Equations with Nonlinear Deviation of Argument
by: Oleinichenko, A. P., et al.
Published: (2002) -
Asymptotic solutions to the first order differential equation with deviated argument and slowly varying coefficients
by: Mitropolsky, Y.A., et al.
Published: (2004) -
On periodic solutions of systems of linear differential equations with argument deviations
by: A. Rontу, et al.
Published: (2020)