On solutions defined on an axis for differential equations with shifts of the argument
We consider linear first-order differential equations with shifts of arguments with respect to functions with values in a Banach space. Sufficient conditions for the existence of nontrivial solutions of homogeneous equations are obtained. Ordinary differential equations are constructed for which all...
Saved in:
| Date: | 2011 |
|---|---|
| Main Authors: | Chaikovs'kyi, A. V., Чайковський, А. В. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2806 |
| 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 exponential dichotomy for abstract differential equations with delayed argument
by: Chaikovs'kyi, A., et al.
Published: (2023)
by: Chaikovs'kyi, A., et al.
Published: (2023)
Functions of shift operator and their applications to difference equations
by: Chaikovs'kyi, A. V., et al.
Published: (2010)
by: Chaikovs'kyi, A. V., et al.
Published: (2010)
Investigation of One Linear Differential Equation by Using Generalized Functions with Values in a Banach Space
by: Chaikovs'kyi, A. V., et al.
Published: (2001)
by: Chaikovs'kyi, A. V., et al.
Published: (2001)
Behavior of solutions of differential equations with deviating argument
by: Hormozi, M.
Published: (2012)
by: Hormozi, M.
Published: (2012)
Asymptotic behavior of solutions of the differential-functional equation with linearly transformed argument
by: Pelyukh, G. P., et al.
Published: (2020)
by: Pelyukh, G. P., et al.
Published: (2020)
Boundedness of solutions of differential equations with delayed argument, «close» to the linear
by: Barkovskaya, N. V., et al.
Published: (1966)
by: Barkovskaya, N. V., et al.
Published: (1966)
On solutions of differential equations in Banach space on the whole real axis
by: V. M. Horbachuk
Published: (2015)
by: V. M. Horbachuk
Published: (2015)
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)
Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators
by: Kalchuk, I. V., et al.
Published: (2007)
by: Kalchuk, I. V., et al.
Published: (2007)
Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
by: Il'chenko, Yu. V., et al.
Published: (2011)
by: Il'chenko, Yu. V., et al.
Published: (2011)
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)
Bounded solutions of a difference equation in Banach space with input data in subspaces
by: Chaikovs'kyi, A. V., et al.
Published: (2021)
by: Chaikovs'kyi, A. V., et al.
Published: (2021)
Theorems of existence of periodic solutions of differential equations with a delayed argument
by: Subbоtіn, V. F., et al.
Published: (1966)
by: Subbоtіn, V. F., et al.
Published: (1966)
On asymptotic properties of solutions to differential-functional equations with linearly transformed argument
by: D. V. Belskij, et al.
Published: (2017)
by: D. V. Belskij, et al.
Published: (2017)
Asymptotic behavior of solutions of the differential-functional equation with linearly transformed argument
by: G. P. Peljukh, et al.
Published: (2020)
by: G. P. Peljukh, et al.
Published: (2020)
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)
Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
by: Zhyhallo, T. V., et al.
Published: (2005)
by: Zhyhallo, T. V., et al.
Published: (2005)
On solutions of linear functional differential equations with linearly transformed argument on a semiaxis
by: Denysenko, N. L., et al.
Published: (2007)
by: Denysenko, N. L., et al.
Published: (2007)
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)
Conditions of existence of bounded solutions of differential equation in Banach space on the real axis
by: V. M. Horbachuk
Published: (2016)
by: V. M. Horbachuk
Published: (2016)
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)
Asymptotic properties of solutions of the functional-differential equation with a linearly transformed argument
by: G. P. Peljukh, et al.
Published: (2018)
by: G. P. Peljukh, et al.
Published: (2018)
On asymptotic properties of solutions of a differential-functional equation with linearly transformed argument
by: D. V. Belskij, et al.
Published: (2013)
by: D. V. Belskij, et al.
Published: (2013)
Asymptotic behavior of solutions of the functional-differential equation with a linearly transformed argument
by: G. P. Peljukh, et al.
Published: (2019)
by: G. P. Peljukh, et al.
Published: (2019)
Travelling waves dynamics in a nonlinear parabolic equation with a shifted spatial argument
by: Belan, E.P.
Published: (2005)
by: Belan, E.P.
Published: (2005)
Bernstein-type inequalities for splines defined on the real axis
by: Babenko, V. F., et al.
Published: (2011)
by: Babenko, V. F., et al.
Published: (2011)
Solutions of systems of nonlinear functional-differential equations bounded in the entire real axis and their properties
by: Pelyukh, G. P., et al.
Published: (1994)
by: Pelyukh, G. P., et al.
Published: (1994)
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)
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)
On the asymptotic properties of solutions of the inhomogeneous functional-differential equation with a linearly transformed argument
by: G. P. Peljukh, et al.
Published: (2018)
by: G. P. Peljukh, et al.
Published: (2018)
Asymptotic boundaries of solutions to a differential-functional equation with a linearly transformed argument
by: D. V. Belskij, et al.
Published: (2017)
by: D. V. Belskij, et al.
Published: (2017)
Solutions of systems of nonlinear difference-differential equations of neutral type asymptotically bounded in the entire axis
by: Pelyukh, G. P., et al.
Published: (1994)
by: Pelyukh, G. P., et al.
Published: (1994)
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)
On the application of numerical methods to the solution of nonlinear second-order differential equations with random deviations of argument
by: Kolomiets, O. V., et al.
Published: (1999)
by: Kolomiets, O. V., et al.
Published: (1999)
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)
Oscillation of neutral differential equations with distributed deviating arguments
by: Candan, T., et al.
Published: (2012)
by: Candan, T., et al.
Published: (2012)
On periodic solutions of difference equations with continuous argument
by: Pelyukh, G. P., et al.
Published: (1996)
by: Pelyukh, G. P., et al.
Published: (1996)
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)
On existence and uniqueness of solutions of the sets of nonlinear differential-difference equations of neutral type bounded on the whole axis
by: Samoilenko , A. M., et al.
Published: (1991)
by: Samoilenko , A. M., et al.
Published: (1991)
Similar Items
-
On exponential dichotomy for abstract differential equations with delayed argument
by: Chaikovs'kyi, A., et al.
Published: (2023) -
Functions of shift operator and their applications to difference equations
by: Chaikovs'kyi, A. V., et al.
Published: (2010) -
Investigation of One Linear Differential Equation by Using Generalized Functions with Values in a Banach Space
by: Chaikovs'kyi, A. V., et al.
Published: (2001) -
Behavior of solutions of differential equations with deviating argument
by: Hormozi, M.
Published: (2012) -
Asymptotic behavior of solutions of the differential-functional equation with linearly transformed argument
by: Pelyukh, G. P., et al.
Published: (2020)