Buchumschlag

Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument

By using the method of integral equations, we prove the existence and uniqueness of a regular solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument.

Gespeichert in:

Bibliographische Detailangaben
Datum:	1997
Hauptverfasser:	Zarubin, A. N., Зарубин, А. Н.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1997
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/5131
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

Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
von: Urinov, A. K., et al.
Veröffentlicht: (2020)

Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
von: A. K. Urinov, et al.
Veröffentlicht: (2020)

Oscillation criteria for difference equations with several retarded arguments
von: R. Koplatadze, et al.
Veröffentlicht: (2018)

Oscillation criteria for difference equations with several retarded arguments
von: Koplatadze, R., et al.
Veröffentlicht: (2018)

Correct solvability of the Cauchy problem and integral representations of solutions for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
von: I. P. Medynskyi
Veröffentlicht: (2019)

The Cauchy problem for a stochastic parabolic equation with a deviation of the argument
von: H. M. Perun, et al.
Veröffentlicht: (2022)

Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasilinear degenerate equation
von: Degtyarev, S. P., et al.
Veröffentlicht: (2006)

Criterion for the Uniqueness of a Solution of the Darboux–Protter Problem for Degenerate Multidimensional Hyperbolic Equations
von: Aldashev, S. A., et al.
Veröffentlicht: (2003)

On the sedimentation modeling by a hyperbolic equation and its degeneration
von: Ju. G. Krivonos, et al.
Veröffentlicht: (2014)

Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations
von: V. A. Litovchenko
Veröffentlicht: (2013)

Properties of fundamental solutions, theorems on integral representations of solutions and correct solvability of the Cauchy problem for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
von: S. D. Ivasyshen, et al.
Veröffentlicht: (2018)

Properties of fundamental solutions, correct solvability of the Cauchy problem and integral representations of solutions for ultraparabolic Kolmogorov–type equations with three groups of spatial variables and with degeneration on the initial hyperplane
von: O. Voznyak, et al.
Veröffentlicht: (2022)

On the averaging principle for hyperbolic second order equations with a functionally disturbed argument
von: Korenevsky, D. G., et al.
Veröffentlicht: (1971)

Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source
von: Afanaseva, N. V., et al.
Veröffentlicht: (2005)

On the powers of an operator of an engendered Cauchy problem for a hyperbolic equation of the second order
von: Оrосhkо, Y. В., et al.
Veröffentlicht: (1966)

Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
von: Ivasyshen, S. D., et al.
Veröffentlicht: (2011)

Spectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument
von: Erdoğan Şen
Veröffentlicht: (2018)

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)

A Cauchy problem for autonomous quasilinear parabolic pseudo-differential equations with argument deviation
von: Ya. M. Drin, et al.
Veröffentlicht: (2013)

Existence of a countable number of cycles in hyperbolic systems of differential equations with transformed argument
von: I. I. Klevchuk
Veröffentlicht: (2015)

On the Cauchy Problem for Degenerate Difference Equations of the mth Order in a Banach Space
von: Semenyshyna, I. V., et al.
Veröffentlicht: (2003)

Oscillation criteria for nonlinear neutral hyperbolic equations with functional arguments
von: Shoukaku, Y., et al.
Veröffentlicht: (2011)

The Cauchy problem for degenerate parabolic equations with source and damping
von: Andreucci, D., et al.
Veröffentlicht: (2004)

Asymptotic integration of singularly perturbed systems of hyperbolic-type partial differential equations with degeneration
von: Samusenko, P. F., et al.
Veröffentlicht: (2011)

Existence of a Continuously Differentiable Solution of a Cauchy Problem for a System of Integro-Functional Equations with Partial Derivatives and Linearly Transformed Arguments
von: Gromyak, M.I.
Veröffentlicht: (2001)

The fundamental solution of the Cauchy problem for degenerated parabolic Kolmogorov type equations of arbitrary order
von: S. D. Ivasyshen, et al.
Veröffentlicht: (2019)

An approach to solution of a nonlocal problem for a system of hyperbolic equations with integral conditions
von: A. T. Asanova
Veröffentlicht: (2017)

Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus
von: Ivasyshen, S. D., et al.
Veröffentlicht: (2010)

Specific properties in solutions of differential equations with a deviating argument
von: Koplatadze , R. G., et al.
Veröffentlicht: (1991)

Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type
von: Litovchenko, V. A., et al.
Veröffentlicht: (2010)

The problem with movable boundaries for degenerate hyperbolic system of qiasolinear equation
von: T. O. Derevianko, et al.
Veröffentlicht: (2012)

Integration of linear differential equations with a devicating argument by means of series
von: Martynyuk, D. I., et al.
Veröffentlicht: (1966)

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

Well-posedness of many-dimensional Darboux problems for degenerating hyperbolic equations
von: Aldashev, S. A., et al.
Veröffentlicht: (1994)

Distribution of the spectrum and representation of solutions of degenerate dynamical systems
von: Mazko, A. G., et al.
Veröffentlicht: (1998)

Approximate solution of integral equations with delayed argument by Y. D. Sokolov’s method
von: Gal, M. M., et al.
Veröffentlicht: (1966)

Spectral problem for Sturm – Liouville operator with retarded argument which contains a spectral parameter in boundary condition
von: E. Şen, et al.
Veröffentlicht: (2016)

Spectral problem for Sturm – Liouville operator with retarded argument which contains a spectral parameter in boundary condition
von: Acikgoz, M., et al.
Veröffentlicht: (2016)

Integral operators that determine the solution of an iterated hyperbolic-type equation
von: I. M. Aleksandrovych, et al.
Veröffentlicht: (2020)

Theorems of existence of periodic solutions of differential equations with a delayed argument
von: Subbоtіn, V. F., et al.
Veröffentlicht: (1966)