Existence and asymptotic properties of solutions of a real system of differential equations unresolved with respect to the derivative
A system of differential equations unresolved with respect to a derivative is studied. Sufficient conditions for the existence of solutions with singular initial data are found. The dimensionality of the set of these solutions is determined and their asymptotic properties are studied.
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | Prosenyuk, L. G., Просенюк, Л. Г. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5952 |
| 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
Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
by: Prosenyuk, L. G., et al.
Published: (1994)
by: Prosenyuk, L. G., et al.
Published: (1994)
A multipoint problem for partial differential equations unresolved with respect to the higher time derivative
by: Klyus, I. S., et al.
Published: (1999)
by: Klyus, I. S., et al.
Published: (1999)
Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative
by: Bilusyak, N.I., et al.
Published: (2002)
by: Bilusyak, N.I., et al.
Published: (2002)
Periodic boundary value problem of Lyenar type unresolved with respect to derivative in critical case
by: S. M. Chujko, et al.
Published: (2015)
by: S. M. Chujko, et al.
Published: (2015)
The riquier problem for a nonlinear equation unresolved with respect to the Lévy iterated laplacian
by: Feller, M. N., et al.
Published: (1999)
by: Feller, M. N., et al.
Published: (1999)
Volterra second-order integro-differential equations unresolved for the higher derivative. The case of semibounded operator coefficients
by: E. V. Sjomkina
Published: (2014)
by: E. V. Sjomkina
Published: (2014)
Asymptotics of the fundamental system of solutions of a linear functional-differential equation with respect to a parameter
by: Radzievskii, G. V., et al.
Published: (1995)
by: Radzievskii, G. V., et al.
Published: (1995)
Existence and asymptotic behavior of the positive solutions of neutral impulsive differential equations
by: Dimitrova, M.B., et al.
Published: (2005)
by: Dimitrova, M.B., et al.
Published: (2005)
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)
Existence and asymptotic properties of a solution of a nonlinear boundary-value problem on the real axis
by: I. O. Parasiuk, et al.
Published: (2020)
by: I. O. Parasiuk, et al.
Published: (2020)
Conditions for Almost Periodicity of Bounded Solutions of Nonlinear Differential Equations Unsolved with Respect to the Derivative
by: Yu. Sliusarchuk
Published: (2014)
by: Yu. Sliusarchuk
Published: (2014)
Conditions for Almost Periodicity of Bounded Solutions of Nonlinear Differential Equations Unsolved with Respect to the Derivative
by: Slyusarchuk, V. Yu., et al.
Published: (2014)
by: Slyusarchuk, V. Yu., et al.
Published: (2014)
Boundedness of solutions and asymptotic properties of some systems of differential equations
by: Gorodetskii, V. G., et al.
Published: (1994)
by: Gorodetskii, V. G., et al.
Published: (1994)
Conditions for the Existence of Local Solutions of Set-Valued Differential Equations with Generalized Derivative
by: A. V. Plotnikov, et al.
Published: (2013)
by: A. V. Plotnikov, et al.
Published: (2013)
Conditions for the Existence of Local Solutions of Set-Valued Differential Equations with Generalized Derivative
by: Plotnikov, A. V., et al.
Published: (2013)
by: Plotnikov, A. V., et al.
Published: (2013)
Asymptotics of Solutions of the Sturm–Liouville Equation with Respect to a Parameter
by: Gomilko, A. M., et al.
Published: (2001)
by: Gomilko, A. M., et al.
Published: (2001)
On the existence and uniqueness of a solution of a linear stochastic differential equation with respect to a logarithmic process
by: Pilipenko, A. Yu., et al.
Published: (1997)
by: Pilipenko, A. Yu., et al.
Published: (1997)
On asymptotic properties of solutions to some differential-functional equations
by: D. V. Belskij, et al.
Published: (2016)
by: D. V. Belskij, et al.
Published: (2016)
Boundary-value problems for differential equations unsolvable with respect to the higher time derivative
by: Komarnyts'ka, L. I., et al.
Published: (1995)
by: Komarnyts'ka, L. I., et al.
Published: (1995)
On the existence of solutions of operator differential equations
by: Solonukha, O.V., et al.
Published: (2004)
by: Solonukha, O.V., et al.
Published: (2004)
On the existence and uniqueness of solutions continuous and bounded on the real axis for nonlinear functional equations
by: Pelyukh, G. P., et al.
Published: (2000)
by: Pelyukh, G. P., et al.
Published: (2000)
Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
by: Evtukhov, V. M., et al.
Published: (2010)
by: Evtukhov, V. M., et al.
Published: (2010)
PRV property and the asymptotic behaviour of solutions of stochastic differential equations
by: Buldygin, V.V., et al.
Published: (2005)
by: Buldygin, V.V., et al.
Published: (2005)
Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2011)
by: Evtukhov, V. M., et al.
Published: (2011)
On asymptotic formulas for solutions of systems of linear differential equations with a degerate matrix with derivatives
by: Samusenko, P. F., et al.
Published: (1996)
by: Samusenko, P. F., et al.
Published: (1996)
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)
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)
О существовании и асимптотических свойствах решений одной вещественной системы дифференциальных уравнений, не разрешенных относительно производной
by: Просенюк, Л.Г.
Published: (1993)
by: Просенюк, Л.Г.
Published: (1993)
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)
On the Asymptotic Properties of Solutions of Linear Stochastic Differential Equations in $R^d$
by: Buldygin, V. V., et al.
Published: (2000)
by: Buldygin, V. V., et al.
Published: (2000)
Существование и асимптотика O-решений дифференциального уравнения, не разрешенного относительно производной
by: Просенюк, Л.Г.
Published: (1987)
by: Просенюк, Л.Г.
Published: (1987)
О существовании и асимптотическом поведении решений дифференциального уравнения n-го порядка, частично разрешенного относительно производной
by: Просенюк, Л.Г.
Published: (1994)
by: Просенюк, Л.Г.
Published: (1994)
On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function
by: Zernov, A. E., et al.
Published: (2001)
by: Zernov, A. E., et al.
Published: (2001)
A Problem with Nonlocal Conditions for Partial Differential Equations Unsolved with Respect to the Leading Derivative
by: Vlasii, O. D., et al.
Published: (2003)
by: Vlasii, O. D., et al.
Published: (2003)
Asymptotic solution of a system of integro-differential equations
by: Zavizion, G. V., et al.
Published: (1997)
by: Zavizion, G. V., et al.
Published: (1997)
Differentiability of integrals of real functions with respect to $L_0$-valued measures
by: Radchenko, V. N., et al.
Published: (1999)
by: Radchenko, V. N., et al.
Published: (1999)
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 the existence and properties of periodic solutions of discrete difference equations
by: Pelyukh, G. P., et al.
Published: (1994)
by: Pelyukh, G. P., et al.
Published: (1994)
On the Asymptotic Behavior of Solutions of Linear Differential Equations
by: Nguyen Minh Man, et al.
Published: (2003)
by: Nguyen Minh Man, et al.
Published: (2003)
On the Asymptotic Behavior of Solutions of Linear Differential Equations
by: Nguyen, Minh Man, et al.
Published: (2003)
by: Nguyen, Minh Man, et al.
Published: (2003)
Similar Items
-
Existence and asymptotic behavior of solutions of an $n$-th-order differential equation partially solved with respect to derivative
by: Prosenyuk, L. G., et al.
Published: (1994) -
A multipoint problem for partial differential equations unresolved with respect to the higher time derivative
by: Klyus, I. S., et al.
Published: (1999) -
Dirichlet-Type Problems for Systems of Partial Differential Equations Unresolved with Respect to the Highest Time Derivative
by: Bilusyak, N.I., et al.
Published: (2002) -
Periodic boundary value problem of Lyenar type unresolved with respect to derivative in critical case
by: S. M. Chujko, et al.
Published: (2015) -
The riquier problem for a nonlinear equation unresolved with respect to the Lévy iterated laplacian
by: Feller, M. N., et al.
Published: (1999)