Cover Image

Existence of eigenfunctions of the Tricomi spectral problem for some classes of multidimensional mixed hyperbolic–parabolic equations

We show that there exists a countable set of eigenfunctions of the Tricomi spectral problem for multidimensional mixed hyperbolic–parabolic equations.

Saved in:

Bibliographic Details
Date:	2010
Main Authors:	Aldashev, S. A., Алдашев, С. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2904
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

Well-posedness of a mixed problem in a cylindrical domain for one class of multidimensional hyperbolic-parabolic equations
by: Aldashev, S. A., et al.
Published: (2020)

Many-dimensional Dirichlet and Tricomi problems for one class of hyperbolic-elliptic equations
by: Aldashev, S. A., et al.
Published: (1997)

Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations
by: Aldashev, S. A., et al.
Published: (2003)

Nonuniqueness of a solution of the multidimensional Tricomi problem for a hyperbolic-parabolic equation
by: S. A. Aldashev
Published: (2015)

Well-posedness of mixed problems for multidimensional hyperbolic equations with wave operator
by: Aldashev, S. A., et al.
Published: (2017)

Some problems for multidimensional integro-differential equations of hyperbolic type
by: Aldashev, S. A., et al.
Published: (2000)

Eigenvalues and eigenfunctions of the Gellerstedt problem for the multidimensional Lavrent?ev?Bitsadze equation
by: Aldashev, S. A., et al.
Published: (2011)

On some boundary value problems for linear multidimensional hyperbolic equations of the second order
by: Aldashev , S. A., et al.
Published: (1991)

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

Well-posedness of a mixed problem in a cylindrical domain for one class of multidimensional hyperbolic-parabolic equations
by: S. A. Aldashev
Published: (2020)

Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator
by: Aldashev, S. A., et al.
Published: (2004)

Nonuniqueness of the solution of the gellerstedt space problem for one class of many-dimensional hyperbolic-elliptic equations
by: Aldashev, S. A., et al.
Published: (2010)

Well-posedness of mixed problems for multidimensional hyperbolic equations with wave operator
by: S. A. Aldashev
Published: (2017)

Well-posedness of the Dirichlet and Poincare problems for a multidimensional Gellerstedt equation in a cylindric domain
by: Aldashev, S. A., et al.
Published: (2012)

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

Correctness of the Dirichlet problem in a cylindric domain for one class of multidimensional hyperbolic-elliptic equations
by: S. A. Aldashev
Published: (2013)

On some boundary-value problems with a shift on characteristics for a mixed equation of hyperbolic-parabolic type
by: Eleev, V. A., et al.
Published: (2000)

On the strong solvability of Tricomi’s problem
by: Sorokina, N. G., et al.
Published: (1966)

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

Well-Posedness of the Dirichlet and Poincaré Problems for the Wave Equation in a Many-Dimensional Domain
by: Aldashev, S. A., et al.
Published: (2014)

Correctness of multi-dimensional Darboux problems for the wave equation
by: Aldashev, S. A., et al.
Published: (1993)

On the well-posedness of derichlet problems for the many-dimensional wave equation and lavrent’ev-bitsadze equation
by: Aldashev, S. A., et al.
Published: (1996)

Multiperiodic Solution of a Boundary-Value Problem for one Class of Parabolic Equations with Multidimensional Time
by: Abdikalikova, G. A., et al.
Published: (2014)

New generalizations of the zeta-function and the Tricomi function
by: N. O. Virchenko, et al.
Published: (2016)

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

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

The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation
by: Mitropolskiy, Yu. A., et al.
Published: (1993)

On existence of strong solution for a degenerate parabolic inequality with mixed boundary-value conditions
by: N. V. Zadoianchuk
Published: (2015)

Multiperiodic Solution of a Boundary-Value Problem for one Class of Parabolic Equations with Multidimensional Time
by: K. K. Kenzhebaev, et al.
Published: (2014)

On the normal solvability of the Tricomi problem for an equation of the Lavrentyev — Bitsadze type
by: Sorokina, N. G., et al.
Published: (1970)

Existence theorems for multidimensional generalized moment representations
by: Veselovska, G.M., et al.
Published: (2017)

Spectral theory of some matrix differential operators of mixed order
by: Konstantinov, A. Yu., et al.
Published: (1998)

Propagation of Perturbations in Quasilinear Multidimensional Parabolic Equations with Convective Term
by: Sapronov, D. A., et al.
Published: (2001)

Existence theorems for multidimensional generalized moment representations
by: H. M. Veselovska, et al.
Published: (2017)

On sufficient conditions for generalized solutions of some mixed parabolic problems to be classical
by: V. M. Los
Published: (2016)

Fundamental solutions for degenerate parabolic equations: existence, properties and some their applications
by: I. P. Medynskyi
Published: (2021)

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

Existence of global solutions for some classes of integral equations
by: T. Jabeen, et al.
Published: (2018)

Existence of global solutions for some classes of integral equations
by: Agarwal, P., et al.
Published: (2018)

Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces
by: Li, Chao
Published: (2020)