Buchumschlag

On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem

We consider a singular Cauchy problem for a nonlinear differential equation unsolved with respect to the derivative of the unknown function. We prove the existence of continuously differentiable solutions, investigate their asymptotic behavior near the initial point, and determine their number.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2001
Hauptverfasser:	Zernov, A. E., Meleshko, T. V., Зернов, А. Е., Мелешко, Т. В.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2001
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4337
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

On asymptotics of solutions of one Cauchy’s problem
von: Zernov , A. E., et al.
Veröffentlicht: (2025)

Qualitative Analysis of an Implicit Singular Cauchy Problem
von: Zernov, A. E., et al.
Veröffentlicht: (2001)

On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function
von: Zernov, A. E., et al.
Veröffentlicht: (2001)

On the Solvability and Asymptotics of Solutions of One Functional Differential Equation with Singularity
von: Zernov, A. E., et al.
Veröffentlicht: (2001)

Qualitative investigation of a singular Cauchy problem for a functional differential equation
von: Zernov, A. E., et al.
Veröffentlicht: (2005)

Qualitative Investigation of the Singular Cauchy Problem $\sum\limits_{k = 1}^n {(a_{k1} t + a_{k2} x)(x')^k = b_1 t + b_2 x + f(t,x,x'),x(0) = 0}$
von: Zernov, A. E., et al.
Veröffentlicht: (2003)

Qualitative Investigation of the Singular Cauchy Problem F(t, x, x′) = 0, x(0) = 0
von: Zernov, A. E., et al.
Veröffentlicht: (2003)

Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem
von: Mel'nik, T. A., et al.
Veröffentlicht: (1994)

Asymptotic Behavior of Solutions of the Cauchy Problem x′ = f(t, x, x′), x(0) = 0
von: Zernov, A. E., et al.
Veröffentlicht: (2002)

Asymptotic solution of the cauchy problem for a singularly perturbed linear system
von: Kocherga, O. I., et al.
Veröffentlicht: (1999)

Об асимптотическом поведении решений некоторой сингулярной задачи Коши
von: Зернов, А.Е., et al.
Veröffentlicht: (2001)

Aniterative method for the solution of some singularly perturbed cauchy problems
von: Mel'nik, T. A., et al.
Veröffentlicht: (1997)

Asymptotic integration of a singularly perturbed quasilinear cauchy problem in a banach space
von: Plotkin, Ya. D., et al.
Veröffentlicht: (1999)

Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2007)

A singular Cauchy problem for an ordinary differential equation not solved with respect to the derivative of the unknown function
von: A. E. Zernov, et al.
Veröffentlicht: (2017)

Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
von: Dauylbayev, M. K., et al.
Veröffentlicht: (2026)

Asymptotic solution of the Cauchy problem for the linear singularly perturbed system in case of multiple spectrum of the main operator
von: V. P. Yakovets
Veröffentlicht: (2013)

Asymptotic Multiphase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg–de-Vries Equation with Variable Coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2014)

Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems
von: Mel'nik, T. A., et al.
Veröffentlicht: (1999)

Asymptotic Multiphase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg–de-Vries Equation with Variable Coefficients
von: V. H. Samoilenko, et al.
Veröffentlicht: (2014)

Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
von: M. K. Dauylbaev, et al.
Veröffentlicht: (2019)

One method for solution of the Cauchy problem for singular parabolic equations
von: Matiichuk , M. I., et al.
Veröffentlicht: (1992)

On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
von: Karimov, Sh. T., et al.
Veröffentlicht: (2017)

Asymptotic Behavior of Solutions of Linear Singularly Perturbed General Separated Boundary-Value Problems with Initial Jump
von: Kasymov, K. A., et al.
Veröffentlicht: (2003)

Asymptotic behaviour of the solution of Cauchy’s problem for stochastic equation of parabolic type
von: Dorogovtsev , A. Ya., et al.
Veröffentlicht: (1988)

Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case
von: Karandzhulov, L.I.
Veröffentlicht: (2018)

Asymptotic behavior of solutions for differential equations with double singularity in conditionally stable case
von: L. I. Karandzhulov
Veröffentlicht: (2018)

Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points
von: Makarov, V. Yu., et al.
Veröffentlicht: (1999)

Existence and uniqueness of solution of the Cauchy problem for singular systems of integro-differential equations
von: Shmarda, Z., et al.
Veröffentlicht: (1993)

Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System
von: A. Omuraliev, et al.
Veröffentlicht: (2022)

The asymptotics of constrained control in optimal singular parabolic problems
von: Kapustyan, V. E., et al.
Veröffentlicht: (1993)

On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
von: Sh. T. Karimov
Veröffentlicht: (2017)

Asymptotically periodic solutions to nonlocal Cauchy problems governed by compact evolution families
von: R.-N. Wang, et al.
Veröffentlicht: (2013)

Asymptotically periodic solutions to nonlocal Cauchy problems governed by compact evolution families
von: Wang, R.-N., et al.
Veröffentlicht: (2013)

Singular Cauchy problem for the equation of flow of thin viscous films with nonlinear convection
von: Taranets, R. M., et al.
Veröffentlicht: (2006)

Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
von: Plaksa, S.A.
Veröffentlicht: (2019)

Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
von: S. A. Plaksa
Veröffentlicht: (2019)

Asymptotic expansions of solutions to singularly perturbed systems
von: Shchitov, I. N., et al.
Veröffentlicht: (1993)

On the Asymptotic Behavior of Solutions of Differential Systems
von: Pham, Van Viet, et al.
Veröffentlicht: (2005)

On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes
von: Martynenko, A. V., et al.
Veröffentlicht: (2012)