Cover Image

On a nonlocal problem for a quasilinear first-order hyperbolic system with two independent variables

A mixed problem with nonlocal conditions on a space variable is considered for a system of quasilinear first-order hyperbolic equations with two independent variables. The sufficient conditions of solvability of this system are given.

Saved in:

Bibliographic Details
Date:	1993
Main Authors:	Kmit, I. Ya., Кміть, І. Я.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5934
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables
by: Lavrenyuk, S. P., et al.
Published: (2002)

Quasilinear hyperbolic stefan problem with nonlocal boundary conditions
by: Andrusyak, R. V., et al.
Published: (2010)

On kinetic formulation of first-order hyperbolic quasilinear systems
by: Panov, E.Yu.
Published: (2004)

Robustness of exponential dichotomies of boundary-value problems for general first-order hyperbolic systems
by: Kmit, I. Ya., et al.
Published: (2013)

Nonlocal problem with integral conditions for a high-order hyperbolic equation
by: Sh. Sh. Jusubov
Published: (2017)

Nonlocal problem with integral conditions for a high-order hyperbolic equation
by: Yusubov, Sh. Sh., et al.
Published: (2017)

Smooth Solution of the Dirichlet Problem for a Quasilinear Hyperbolic Equation of the Second Order
by: Mitropolskiy, Yu. A., et al.
Published: (2000)

Robustness of exponential dichotomies of boundary-value problems for general first-order hyperbolic systems
by: Ya. Kmit, et al.
Published: (2013)

Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems
by: Kmit, I.Ya., et al.
Published: (2013)

Linear periodic boundary-value problem for a second-order hyperbolic equation. II. Quasilinear problem
by: Khoma, N. H., et al.
Published: (1998)

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

Conditions of solvability of quasilinear periodic boundary-value problems for hyperbolic equations of the second order
by: Mitropolskiy, Yu. A., et al.
Published: (1998)

Well-posedness of boundary-value problems for multidimensional hyperbolic systems
by: Kmit, I. Ya., et al.
Published: (2008)

Fredholm solvability of a periodic Neumann problem for a linear telegraph equation
by: Kmit, I. Ya., et al.
Published: (2013)

Classical solvability of a problem with moving boundaries for a hyperbolic system of quasilinear equations
by: Andrusyak, R. V., et al.
Published: (2009)

On a Nonlocal Boundary-Value Problem for Systems of Impulsive Hyperbolic Equations
by: A. T. Asanova
Published: (2013)

On a Nonlocal Boundary-Value Problem for Systems of Impulsive Hyperbolic Equations
by: Assanova, A. T., et al.
Published: (2013)

Averaging of the Dirichlet problem for the spectral hyperbolic quasilinear equation
by: Sidenko, N.R.
Published: (2008)

Nonlocal problem for autonomous quasilinear parabolic pseudodifferential equations with deviating argument
by: Ya. M. Drin, et al.
Published: (2015)

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

Problem with nonlocal conditions for weakly nonlinear hyperbolic equations
by: Goi, T. P., et al.
Published: (1997)

Problem without initial conditions for a countable semilinear hyperbolic system of first-order equations
by: V. M. Kyrylych, et al.
Published: (2016)

Problem without initial conditions for a countable semilinear hyperbolic system of first-order equations
by: Kirilich, V. M., et al.
Published: (2016)

Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
by: Tedeev, A. F., et al.
Published: (1996)

Non-local Stefan-type problem for the hyperbolic first order system
by: Kirilich, V. M., et al.
Published: (1987)

Direct and inverse scattering problems for a hyperbolic system of six equations of first order on a semi-axis
by: Sh. Iskenderov, et al.
Published: (2017)

On two nonlocal elliptic problems
by: Raczyński, A.
Published: (2000)

A priori estimates of the boundary problem solution for degenerate semilinear hyperbolic system first order in the sector
by: O. V. Fliud
Published: (2013)

Problem of Optimal Control for a Semilinear Hyperbolic System of Equations of the First Order with Infinite Horizon Planning
by: N. V. Derevianko, et al.
Published: (2015)

Problem of Optimal Control for a Semilinear Hyperbolic System of Equations of the First Order with Infinite Horizon Planning
by: Derev’yanko, N. V., et al.
Published: (2015)

Mixed problem for a nonlinear hyperbolic equation in a domain unbounded with respect to space variables
by: Lavrenyuk, S. P., et al.
Published: (2007)

Bounded solutions to boundary-value hyperbolic problems
by: R. Klyuchnyk, et al.
Published: (2016)

A Problem with Nonlocal Conditions for Partial Differential Equations with Variable Coefficients
by: Vlasii, O. D., et al.
Published: (2001)

Initial-boundary-value problems for quasilinear degenerate hyperbolic equations with damping. Neumann problem
by: Tedeev, A. F., et al.
Published: (2006)

Nonlocal inverse problem for a two-dimensional heat equation
by: Ye. Kinash
Published: (2016)

Nonlocal time multipoint nonlocal problem for a certain class of infinite order partial differential equations
by: V. V. Horodetskyi, et al.
Published: (2015)

To the theory of nonlocal problems with integral conditions for systems of equations of hyperbolic type
by: A. T. Asanova
Published: (2018)

To the theory of nonlocal problems with integral conditions for systems of equations of hyperbolic type
by: Assanova, A. T., et al.
Published: (2018)

Hyperbolic Variational Inequality of the Third Order with Variable Exponent of Nonlinearity
by: O. T. Kholiavka
Published: (2014)

Hyperbolic Variational Inequality of the Third Order with Variable Exponent of Nonlinearity
by: Kholyavka, O. T., et al.
Published: (2014)