Buchumschlag

Solution of a second-order Poincaré-Perron-type equation and differential equations that can be reduced to it

The analytical solution of the second-order difference Poincare&#8211;Perron equation is presented. This enables us to construct in the explicit form a solution of the differential equation $$t^2(A_1t^2 + B_1t + C_1)u'' + t(A_2t^2 + B_2t + C_2)u' + (A_3t^2 + B_3t...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2008
Hauptverfasser:	Kruglov, V. E., Круглов, В. Е.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2008
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3208
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Solution of a Linear Second-Order Differential Equation with Coefficients Analytic in the Vicinity of a Fuchsian Zero Point
von: Kruglov, V. E., et al.
Veröffentlicht: (2012)

Construction of a fundamental system of solutions of a linear finite-order difference equation
von: Kruglov, V. E., et al.
Veröffentlicht: (2009)

On estimates of solutions of differential equations of the second order
von: Krasnoselsky, M. A., et al.
Veröffentlicht: (1966)

Factorization of matrices of permutation type
von: Kruglov, V. E., et al.
Veröffentlicht: (1994)

Oscillation of solutions of second order nonlinear functional differential equations of neutral type
von: Ivanov, A.F., et al.
Veröffentlicht: (1991)

Construction of periodical solutions of the wave differential and integral-differential second order equations
von: Gromyak, M. I., et al.
Veröffentlicht: (1987)

On periodic solutions of linear degenerate second-order ordinary differential equations
von: Er’omenko, V. O., et al.
Veröffentlicht: (1997)

Behavior of solutions of second order differential equations with sublinear damping
von: Karsai, J., et al.
Veröffentlicht: (2005)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
von: Evtukhov, V. M., et al.
Veröffentlicht: (2019)

Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2012)

Second order Linear Differential Equations of Fuchsian Type with Four Singularities
von: Lukashevich, N.A.
Veröffentlicht: (2001)

On the asymptotic of solutions of the second-order differential equations with rapidly varying nonlinearities
von: Evtukhov , V. M., et al.
Veröffentlicht: (2021)

On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities
von: V. M. Yevtukhov, et al.
Veröffentlicht: (2021)

Second order nonlinear differential equations with an infinite set of periodic solutions
von: Kiguradze, I.T.
Veröffentlicht: (2008)

On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2019)

Asymptotic behavior of solutions of essentially nonlinear second order differential equations
von: E. S. Vladova
Veröffentlicht: (2016)

Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order
von: Petrovskii, Ya. B., et al.
Veröffentlicht: (1996)

Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
von: Evtukhov, V. M., et al.
Veröffentlicht: (2017)

Asymptotic representations of the solutions of essentially nonlinear nonautonomous second-order differential equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2008)

Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
von: Shlepakov, O. R., et al.
Veröffentlicht: (2015)

Nontrivial periodic solutions of a nonautonomous system of second-order differential equations
von: Terekhin, M. T., et al.
Veröffentlicht: (1994)

On the Linearization of Second-Order Differential and Difference Equations
von: Dorodnitsyn, V.
Veröffentlicht: (2006)

On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation
von: Evtukhov, V. M., et al.
Veröffentlicht: (1994)

Quasiperiodic solutions of degenerate linear systems of second-order ordinary differential equations
von: Er’omenko, V. O., et al.
Veröffentlicht: (2010)

Asymptotic Behavior of Unbounded Solutions of Essentially Nonlinear Second-Order Differential Equations. I
von: Evtukhov, V. M., et al.
Veröffentlicht: (2005)

Asymptotic behavior of unbounded solutions of essentially nonlinear second-order differential equations. II
von: Evtukhov, V. M., et al.
Veröffentlicht: (2006)

Asymptotics of solutions of the second-order differential equations with regularly and rapidly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2018)

Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
von: V. M. Evtukhov, et al.
Veröffentlicht: (2017)

Asymptotic Representations for the Solutions of One Class of Nonlinear Differential Equations of the Second Order
von: O. R. Shlepakov
Veröffentlicht: (2015)

On the order of growth of solutions of algebraic differential equations
von: Mokhonko, A. Z., et al.
Veröffentlicht: (1999)

On conditionless bases of the kernels generated by differential equations of the second order
von: Levchuk, V. M., et al.
Veröffentlicht: (2017)

On the structure of the general solution of a degenerate linear system of second-order differential equations
von: Yakovets, V. P., et al.
Veröffentlicht: (1998)

Conditions of oscillatory or nonoscillatory nature of solutions for a class of second-order semilinear differential equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2007)

Existence criteria and asymptotics for some classes of solutions of essentially nonlinear second-order differential equations
von: Evtukhov, V. M., et al.
Veröffentlicht: (2011)

On periodic solutions of wave second order equations. IV
von: Mitropolsky , Yu. A., et al.
Veröffentlicht: (1988)

Asymptotic representations of rapidly varying solutions of essentially nonlinear differential equations of the second order
von: G. A. Gerzhanovskaja
Veröffentlicht: (2017)

sFinding of periodic solutions of the ordinary nonlinear second order differential equation with the delay
von: Yu. Ye. Bokhonov
Veröffentlicht: (2016)

Asymptotic representations of solutions to second order differential equations with rapidly and regularly varying nonlinearities
von: O. O. Chepok
Veröffentlicht: (2017)

One system of differential equations in partial derivatives of the second order
von: Tasmambetov , Zh. N., et al.
Veröffentlicht: (1992)

On the spectral functions of differential equations of the second order with operator coefficients
von: Gorbachuk, M. L., et al.
Veröffentlicht: (1966)