Cover Image

Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions

UDC 517.9 We consider a parabolic-hyperbolic equation with multiplicative control and nonlocal boundary conditions.&nbsp;By using the Riess biorthogonal basis, the problem is reduced to a sequence of one-dimensional problems with alternative representations of their solutions.&nbsp;C...

Full description

Saved in:

Bibliographic Details
Date:	2024
Main Authors:	Kapustyan, V., Pyshnograiev, I., Капустян, Володимир, Пишнограєв, Іван
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2024
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/6829
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

Existence and uniqueness of solution to a parabolic-hyperbolic equation with multiplicative control and nonlocally boundary conditions
by: V. Kapustyan, et al.
Published: (2024)

Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion
by: Kapustyan, V. E., et al.
Published: (2015)

On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation
by: S. Kharibegashvili, et al.
Published: (2019)

On the existence, uniqueness, and nonexistence of solutions of one boundary-value problem for a semilinear hyperbolic equation
by: Midodashvili, B., et al.
Published: (2019)

Problem of Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Point Boundary Conditions and Semidefinite Quality Criterion
by: V. Є. Kapustjan, et al.
Published: (2015)

On the unique solvability of a nonlocal boundary-value problem for systems of loaded hyperbolic equations with impulsive actions
by: A. T. Asanova, et al.
Published: (2017)

On the unique solvability of a nonlocal boundary-value problem for systems of loaded hyperbolic equations with impulsive actions
by: Assanova, A. T., et al.
Published: (2017)

Representations of solutions of nonlocal boundary-value problems for parabolic equations
by: Korbut, L. I., et al.
Published: (1994)

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

Nonlocal boundary-value problem for parabolic equations
by: Zadorozhna, N. M., et al.
Published: (1994)

Approximate Synthesis of Optimal Bounded Control for a Parabolic Boundary-Value Problem
by: Kapustyan, O. A., et al.
Published: (2002)

Nonlocal parabolic boundary-value problem
by: Matychuk, M. I., et al.
Published: (1996)

Uniqueness of solutions of impulsive hyperbolic differential-functional equations
by: Janiszewska-Walczak, D.
Published: (1999)

Uniqueness of solutions of impulsive hyperbolic differential-functional equations
by: Janiszewska-Walczak, D., et al.
Published: (1999)

Uniqueness of Solutions of Some Nonlocal Boundary-Value Problems for Operator-Differential Equations on a Finite Segment
by: Radzievskii, G.V.
Published: (2003)

Uniqueness of Solutions of Some Nonlocal Boundary-Value Problems for Operator-Differential Equations on a Finite Segment
by: Radzievskii, G. V., et al.
Published: (2003)

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

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)

Nonlocal parabolic boundary value problems with features
by: I. D. Pukalskyi, et al.
Published: (2013)

Nonlocal boundary-value problem for parabolic equations with variable coefficients
by: Zadorozhna, N. M., et al.
Published: (1995)

Problems with free boundaries and nonlocal problems for nonlinear parabolic equations
by: Berezovsky, A. A., et al.
Published: (1997)

The boundary-value problems for parabolic equations with a nonlocal condition and degenerations
by: I. M. Isarjuk, et al.
Published: (2014)

One-Sided Nonlocal Boundary-Value Problem for Singular Parabolic Equations
by: Pukalskyi, I. D., et al.
Published: (2001)

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

Asymptotics of locally constrained control in optimal parabolic problems
by: Kapustyan, V. E., et al.
Published: (1996)

An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution
by: Kapustyan, O. V., et al.
Published: (1999)

Conditions for the existence and uniqueness of bounded solutions of nonlinear differential equations
by: Slyusarchuk, V. Yu., et al.
Published: (2009)

General Theorems on the Existence and Uniqueness of Solutions of Impulsive Differential Equations
by: Slyusarchuk, V. E., et al.
Published: (2000)

Nonlocal parabolic problem and optimal control problem for linear equations with degeneration
by: I. D. Pukalskyi
Published: (2012)

Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
by: A. L. Gladkov, et al.
Published: (2016)

Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions
by: Gladkov, A. L., et al.
Published: (2016)

Parametric optimal syntheses for parabolic equation with nonlocal boundary conditions and semidefined functional
by: V. E. Kapustjan, et al.
Published: (2013)

Existence of eigenfunctions of the Tricomi spectral problem for some classes of multidimensional mixed hyperbolic–parabolic equations
by: Aldashev, S. A., et al.
Published: (2010)

Approximate stabilization for a nonlinear parabolic boundary-value problem
by: Kapustyan, O. A., et al.
Published: (2011)

Boundary-value problem for a mixed parabolic-hyperbolic equation of the third order
by: Eleev, V. A., et al.
Published: (1995)

Existence, uniqueness, and estimation of solutions for a set of equations of perturbed motion
by: A. A. Martynjuk, et al.
Published: (2013)

On the existence of unique solutions of linear matrix equations over rings with involution
by: V. R. Zelisko, et al.
Published: (2015)

Existence, uniqueness, and estimation of solutions for a set of equations of perturbed motion
by: Martynyuk, A. A., et al.
Published: (2013)

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