Construction of approximations for a stationary solution of a system of singular ordinary differential equations
We propose a procedure for the construction of successive approximations of a stationary solution of a system of nonlinear ordinary differential equations with a small parameter with the derivative. We present sufficient conditions for the convergence of constructed approximations to the required st...
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | Romanyshyn, I. M., Synyts’kyi, L. A., Романишин, І. М., Синицький, Л. А. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5061 |
| 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
Singular integral equation equivalent in the space of smooth functions to an ordinary differential equation, method of successive approximations for the construction of its smooth solutions and its nonsmooth solutions
by: A. M. Samoilenko
Published: (2019)
by: A. M. Samoilenko
Published: (2019)
Singular integral equation equivalent in the space of smooth functions
to an ordinary differential equation, method of successive approximations
for the construction of its smooth solutions and its nonsmooth solutions
by: Samoilenko, A. M., et al.
Published: (2019)
by: Samoilenko, A. M., et al.
Published: (2019)
Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: T. H. Nguyen
Published: (2021)
by: T. H. Nguyen
Published: (2021)
Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: Nguyen, T. H., et al.
Published: (2021)
by: Nguyen, T. H., et al.
Published: (2021)
Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation with Parameters
by: Mentynskyi, S. M., et al.
Published: (2005)
by: Mentynskyi, S. M., et al.
Published: (2005)
Approximation of solutions of stochastic differential equations with fractional Brownian motion by solutions of random ordinary differential equations
by: Ral’chenko, K. V., et al.
Published: (2010)
by: Ral’chenko, K. V., et al.
Published: (2010)
A method for solution of nonlinear ordinary differential equations
by: Perchik, E. L., et al.
Published: (1995)
by: Perchik, E. L., et al.
Published: (1995)
Quasiperiodic solutions of functional-singularly perturbed linear ordinary higher-order differential equations
by: V. O. Yeromenko, et al.
Published: (2018)
by: V. O. Yeromenko, et al.
Published: (2018)
Construction of an approximate solution to an optimal control problem for a singularly perturbed differential-algebraic system
by: O. V. Tarasenko
Published: (2014)
by: O. V. Tarasenko
Published: (2014)
On a certain singularly perturbed system of ordinary differential quations with a multiple root of the degenerate equation
by: V. F. Butuzov
Published: (2018)
by: V. F. Butuzov
Published: (2018)
Construction of some solutions of the Couchy generalized problem for ordinary non-linear differential equations
by: Pisarenko, V. G., et al.
Published: (1971)
by: Pisarenko, V. G., et al.
Published: (1971)
On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J.
Published: (2002)
by: Kalinowski, J.
Published: (2002)
On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J., et al.
Published: (2002)
by: Kalinowski, J., et al.
Published: (2002)
A singular Cauchy problem for an ordinary differential equation not solved with respect to the derivative of the unknown function
by: A. E. Zernov, et al.
Published: (2017)
by: A. E. Zernov, et al.
Published: (2017)
Extendability of solutions of ordinary differential equations in stability problems
by: V. E. Puzyrev, et al.
Published: (2014)
by: V. E. Puzyrev, et al.
Published: (2014)
Extendability of solutions of ordinary differential equations in stability problems
by: V. N. Nespirnyj
Published: (2014)
by: V. N. Nespirnyj
Published: (2014)
Asymptotic representations for the solutions of nonautonomous ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2019)
by: V. M. Evtukhov, et al.
Published: (2019)
Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: A. O. Ignatev
Published: (2015)
by: A. O. Ignatev
Published: (2015)
Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: Ignat'ev, A. O., et al.
Published: (2015)
by: Ignat'ev, A. O., et al.
Published: (2015)
On Extendability of Solutions of Differential Equations to a Singular Set
by: Kaplun, Yu. I., et al.
Published: (2003)
by: Kaplun, Yu. I., et al.
Published: (2003)
Approximate solution of a dominant singular integral equation with conjugation
by: D. Pylak, et al.
Published: (2021)
by: D. Pylak, et al.
Published: (2021)
Approximate solution of a dominant singular integral equation with conjugation
by: Pylak, D., et al.
Published: (2021)
by: Pylak, D., et al.
Published: (2021)
Attractors of Ordinary Differential Equations
by: Voskresenskii, E. V., et al.
Published: (2000)
by: Voskresenskii, E. V., et al.
Published: (2000)
Asymptotic behavior of solutions of a certain class of third order ordinary differential equations
by: A. A. Stekhun
Published: (2013)
by: A. A. Stekhun
Published: (2013)
Asymptotic behavior of solutions to nonlinear systems of ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2014)
by: V. M. Evtukhov, et al.
Published: (2014)
On the strong uniqueness of a solution to singular stochastic differential equations
by: O. V. Aryasova, et al.
Published: (2011)
by: O. V. Aryasova, et al.
Published: (2011)
Asymptotic representations of solutions of nonautonomous ordinary differential equations: Asymptotic representations of solutions
by: Evtukhov, V. M., et al.
Published: (2019)
by: Evtukhov, V. M., et al.
Published: (2019)
On construction of partial solutions for linear heterogeneous differential equations in the vicinity of an irregular singular point
by: Sikorsky, Yu. I., et al.
Published: (1971)
by: Sikorsky, Yu. I., et al.
Published: (1971)
Existence, uniqueness, and dependence on a parameter of solutions of differential-functional equations with ordinary and partial derivatives
by: Bigun, Ya. I., et al.
Published: (1997)
by: Bigun, Ya. I., et al.
Published: (1997)
Properties of the isolated solutions bounded on the entire axis for a system of nonlinear ordinary differential equations
by: D. S. Dzhumabaev, et al.
Published: (2016)
by: D. S. Dzhumabaev, et al.
Published: (2016)
Properties of the isolated solutions bounded on the entire
axis for a system of nonlinear ordinary differential equations
by: Abildayeva, A. D., et al.
Published: (2016)
by: Abildayeva, A. D., et al.
Published: (2016)
Geometric Linearization of Ordinary Differential Equations
by: Qadir, A.
Published: (2007)
by: Qadir, A.
Published: (2007)
On the multiplication problem of ordinary differential equations
by: Parasyuk, E. M., et al.
Published: (1971)
by: Parasyuk, E. M., et al.
Published: (1971)
On periodic solutions of linear degenerate second-order ordinary differential equations
by: Er’omenko, V. O., et al.
Published: (1997)
by: Er’omenko, V. O., et al.
Published: (1997)
Asymptotic behavior of solutions of nonautonomous nth order ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2016)
by: V. M. Evtukhov, et al.
Published: (2016)
Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations
by: Terekhin, M. T., et al.
Published: (2001)
by: Terekhin, M. T., et al.
Published: (2001)
Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point
by: Mokhonko, A. A., et al.
Published: (2004)
by: Mokhonko, A. A., et al.
Published: (2004)
Quasiperiodic solutions of degenerate linear systems of second-order ordinary differential equations
by: Er’omenko, V. O., et al.
Published: (2010)
by: Er’omenko, V. O., et al.
Published: (2010)
Ordinary differential equations with power boundary layers
by: A. S. Omuraliev, et al.
Published: (2018)
by: A. S. Omuraliev, et al.
Published: (2018)
On the solution of a one-dimensional stochastic differential equation with singular drift coefficient
by: Kulik, A. M., et al.
Published: (2004)
by: Kulik, A. M., et al.
Published: (2004)
Similar Items
-
Singular integral equation equivalent in the space of smooth functions to an ordinary differential equation, method of successive approximations for the construction of its smooth solutions and its nonsmooth solutions
by: A. M. Samoilenko
Published: (2019) -
Singular integral equation equivalent in the space of smooth functions
to an ordinary differential equation, method of successive approximations
for the construction of its smooth solutions and its nonsmooth solutions
by: Samoilenko, A. M., et al.
Published: (2019) -
Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: T. H. Nguyen
Published: (2021) -
Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: Nguyen, T. H., et al.
Published: (2021) -
Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation with Parameters
by: Mentynskyi, S. M., et al.
Published: (2005)