Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point
We establish conditions for the existence of solutions vanishing at a singular point for various classes of systems of quasilinear differential equations appearing in the investigation of the asymptotic behavior of solutions of essentially nonlinear nonautonomous differential equations of higher ord...
Saved in:
| Date: | 2010 |
|---|---|
| Main Authors: | Evtukhov, V. M., Samoilenko, A. M., Евтухов, В. М., Самойленко, А. М. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2010
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2843 |
| 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
Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations
by: Evtukhov, V. M., et al.
Published: (2012)
by: Evtukhov, V. M., et al.
Published: (2012)
Asymptotic Representations for Solutions of One Class of Systems of Quasilinear Differential Equations
by: Evtukhov, V. M., et al.
Published: (2003)
by: Evtukhov, V. M., et al.
Published: (2003)
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 of solutions of one class of nonlinear nonautonomous differential equations of the third order
by: Evtukhov, V. M., et al.
Published: (2007)
by: Evtukhov, V. M., et al.
Published: (2007)
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)
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)
Functional polystability of some nonautonomous quasilinear differential systems
by: Vitrychenko, I. E., et al.
Published: (1999)
by: Vitrychenko, I. E., et al.
Published: (1999)
Existence of two-point oscillatory solutions of a relay nonautonomous system with a multiple eigenvalue of a real symmetric matrix
by: V. V. Yevstafieva
Published: (2021)
by: V. V. Yevstafieva
Published: (2021)
Existence of two-point oscillatory solutions of a relay nonautonomous system with a multiple eigenvalue of a real symmetric matrix
by: Yevstafyeva , V. V., et al.
Published: (2021)
by: Yevstafyeva , V. V., et al.
Published: (2021)
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 oscillation of solutions of a nonautonomous quasilinear second-order equation
by: Vitrychenko, I. E., et al.
Published: (1994)
by: Vitrychenko, I. E., et al.
Published: (1994)
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)
On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
by: Evtukhov, V. M., et al.
Published: (2002)
by: Evtukhov, V. M., et al.
Published: (2002)
On solutions of nonlinear boundary-value problems the
components of which vanish at certain points
by: Puza, B., et al.
Published: (2018)
by: Puza, B., et al.
Published: (2018)
Asymptotic integration of singularly perturbed differential-algebraic equations with turning points. II
by: Samoilenko , A. M., et al.
Published: (2021)
by: Samoilenko , A. M., et al.
Published: (2021)
Conditions of oscillatory or nonoscillatory nature of solutions for a class of second-order semilinear differential equations
by: Evtukhov, V. M., et al.
Published: (2007)
by: Evtukhov, V. M., et al.
Published: (2007)
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)
Asymptotic representation of solutions of differential equations
with rightly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2017)
by: Evtukhov, V. M., et al.
Published: (2017)
Asymptotic integration of singularly perturbed differential algebraic equations with turning points. Part I
by: Samoilenko , A. M., et al.
Published: (2020)
by: Samoilenko , A. M., et al.
Published: (2020)
On solutions of nonlinear boundary-value problems the components of which vanish at certain points
by: B. Půža, et al.
Published: (2018)
by: B. Půža, et al.
Published: (2018)
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 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)
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 representations of solutions of essentially nonlinear two-dimensional systems of ordinary differential equations
by: Evtukhov, V. M., et al.
Published: (2009)
by: Evtukhov, V. M., et al.
Published: (2009)
Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order $n$ with Regularly Varying Nonlinearities
by: Evtukhov, V. M., et al.
Published: (2013)
by: Evtukhov, V. M., et al.
Published: (2013)
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)
On the Existence of Periodic Solutions for Certain Classes of Systems of Differential Equations with Random Pulse Influence
by: Perestyuk, N. A., et al.
Published: (2001)
by: Perestyuk, N. A., et al.
Published: (2001)
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)
Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2012)
by: Evtukhov, V. M., et al.
Published: (2012)
Nontrivial periodic solutions of a nonautonomous system of second-order differential equations
by: Terekhin, M. T., et al.
Published: (1994)
by: Terekhin, M. T., et al.
Published: (1994)
On the existence of solutions of quasilinear Beltrami equations with two characteristics
by: O. P. Dovhopiatyi, et al.
Published: (2022)
by: O. P. Dovhopiatyi, et al.
Published: (2022)
On the existence of solutions of quasilinear Beltrami equations with two characteristics
by: Dovhopiatyi , O. P., et al.
Published: (2022)
by: Dovhopiatyi , O. P., et al.
Published: (2022)
Propagation of Singularities for Large Solutions of Quasilinear Parabolic Equations
by: Y. A. Yevgenieva
Published: (2019)
by: Y. A. Yevgenieva
Published: (2019)
Removable isolated singularities for solutions of quasilinear parabolic equations
by: Nicolosi, F., et al.
Published: (2009)
by: Nicolosi, F., et al.
Published: (2009)
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)
Asymptotic solutions of singularly perturbed differential algebraic equations with turning points
by: M. O. Rashevskyi, et al.
Published: (2021)
by: M. O. Rashevskyi, et al.
Published: (2021)
On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots
by: Vitrychenko, I. E., et al.
Published: (1994)
by: Vitrychenko, I. E., et al.
Published: (1994)
Global λ-Stability of One Nonautonomous Quasilinear Second-Order Equation
by: Vitrychenko, I. E., et al.
Published: (2002)
by: Vitrychenko, I. E., et al.
Published: (2002)
On periodic solutions of countable systems of linear and quasilinear difference equations with periodic coefficients
by: Samoilenko, M. V., et al.
Published: (1996)
by: Samoilenko, M. V., et al.
Published: (1996)
Similar Items
-
Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations
by: Evtukhov, V. M., et al.
Published: (2012) -
Asymptotic Representations for Solutions of One Class of Systems of Quasilinear Differential Equations
by: Evtukhov, V. M., et al.
Published: (2003) -
Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
by: Evtukhov, V. M., et al.
Published: (2008) -
Asymptotic representations of solutions of one class of nonlinear nonautonomous differential equations of the third order
by: Evtukhov, V. M., et al.
Published: (2007) -
Asymptotic representations of solutions of nonautonomous ordinary differential equations: Asymptotic representations of solutions
by: Evtukhov, V. M., et al.
Published: (2019)