Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations
For a multidimensional hyperbolic equation with a wave operator in the principal part, we show that the Darboux–Protter spectral problem has the countable set of eigenfunctions, and its dual problem is the Volterra problem.
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | Aldashev, S. A., Алдашев, С. А. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3891 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
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)
by: Aldashev, S. A., et al.
Published: (2003)
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)
by: Aldashev, S. A., et al.
Published: (2004)
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)
by: Aldashev, S. A., et al.
Published: (2010)
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)
by: Aldashev, S. A., et al.
Published: (2020)
Well-posedness of many-dimensional Darboux problems for degenerating hyperbolic equations
by: Aldashev, S. A., et al.
Published: (1994)
by: Aldashev, S. A., et al.
Published: (1994)
Some problems for multidimensional integro-differential equations of hyperbolic type
by: Aldashev, S. A., et al.
Published: (2000)
by: Aldashev, S. A., et al.
Published: (2000)
Well-posedness of mixed problems for multidimensional hyperbolic equations with
wave operator
by: Aldashev, S. A., et al.
Published: (2017)
by: Aldashev, S. A., et al.
Published: (2017)
Many-dimensional Dirichlet and Tricomi problems for one class of hyperbolic-elliptic equations
by: Aldashev, S. A., et al.
Published: (1997)
by: Aldashev, S. A., et al.
Published: (1997)
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)
by: Aldashev, S. A., et al.
Published: (2010)
On some boundary value problems for linear multidimensional hyperbolic equations of the second order
by: Aldashev , S. A., et al.
Published: (1991)
by: Aldashev , S. A., et al.
Published: (1991)
Correctness of multi-dimensional Darboux problems for the wave equation
by: Aldashev, S. A., et al.
Published: (1993)
by: Aldashev, S. A., et al.
Published: (1993)
Correctness of the Dirichlet problem in a cylindric domain for one class of multidimensional hyperbolic-elliptic equations
by: S. A. Aldashev
Published: (2013)
by: S. A. Aldashev
Published: (2013)
Eigenvalues and eigenfunctions of the Gellerstedt problem for the multidimensional Lavrent?ev?Bitsadze equation
by: Aldashev, S. A., et al.
Published: (2011)
by: Aldashev, S. A., et al.
Published: (2011)
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)
by: Aldashev, S. A., et al.
Published: (2012)
Well-posedness of a mixed problem in a cylindrical domain for one class of multidimensional hyperbolic-parabolic equations
by: S. A. Aldashev
Published: (2020)
by: S. A. Aldashev
Published: (2020)
Well-posedness of mixed problems for multidimensional hyperbolic equations with wave operator
by: S. A. Aldashev
Published: (2017)
by: S. A. Aldashev
Published: (2017)
Nonuniqueness of a solution of the multidimensional Tricomi problem for a hyperbolic-parabolic equation
by: S. A. Aldashev
Published: (2015)
by: S. A. Aldashev
Published: (2015)
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)
by: Aldashev, S. A., et al.
Published: (1996)
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)
by: Aldashev, S. A., et al.
Published: (2014)
Darboux problem for the generalized Euler –
Poisson – Darboux equation
by: Ismoilov, A. I., et al.
Published: (2017)
by: Ismoilov, A. I., et al.
Published: (2017)
Darboux problem for the generalized Euler–Poisson–Darboux equation
by: A. I. Ismoilov, et al.
Published: (2017)
by: A. I. Ismoilov, et al.
Published: (2017)
Multiperiodic Solution of a Boundary-Value Problem for one Class of Parabolic Equations with Multidimensional Time
by: Abdikalikova, G. A., et al.
Published: (2014)
by: Abdikalikova, G. A., et al.
Published: (2014)
Symmetric properties of one class of hyperbolic type equations
by: O. V. Mahda
Published: (2015)
by: O. V. Mahda
Published: (2015)
On the one class of hyperbolic systems
by: Adler, V.E., et al.
Published: (2006)
by: Adler, V.E., et al.
Published: (2006)
Averaging of the Dirichlet problem for the spectral hyperbolic quasilinear equation
by: Sidenko, N.R.
Published: (2008)
by: Sidenko, N.R.
Published: (2008)
Multiperiodic Solution of a Boundary-Value Problem for one Class of Parabolic Equations with Multidimensional Time
by: K. K. Kenzhebaev, et al.
Published: (2014)
by: K. K. Kenzhebaev, et al.
Published: (2014)
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
by: Hobby, D., et al.
Published: (2017)
by: Hobby, D., et al.
Published: (2017)
On one inverse problem for a hyperbolic equation
by: A. Y. Akhundov, et al.
Published: (2022)
by: A. Y. Akhundov, et al.
Published: (2022)
On definition of coefficient of the lowest term in the multidimensional second order hyperbolic equation
by: G. G. Ismailova
Published: (2019)
by: G. G. Ismailova
Published: (2019)
Well-posedness of boundary-value problems for multidimensional hyperbolic systems
by: Kmit, I. Ya., et al.
Published: (2008)
by: Kmit, I. Ya., et al.
Published: (2008)
Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
by: Urinov, A. K., et al.
Published: (2020)
by: Urinov, A. K., et al.
Published: (2020)
Well-posedness of the Dirichlet problem in a cylindrical domain for three-dimensional elliptic equations with degeneration of type and order
by: Aldashev, S. A., et al.
Published: (2017)
by: Aldashev, S. A., et al.
Published: (2017)
One class of multidimensional stochastic differential equations having no property of weak uniqueness of a solution
by: Aryasova, O.V., et al.
Published: (2005)
by: Aryasova, O.V., et al.
Published: (2005)
On functions of the first Baire class with the Darboux property
by: V. M. Safonov
Published: (2017)
by: V. M. Safonov
Published: (2017)
Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
by: A. K. Urinov, et al.
Published: (2020)
by: A. K. Urinov, et al.
Published: (2020)
Well-posedness of Dirichlet and Poincare problems in a cylindrical domain for degenerate many dimensional hyperbolic equations with Gellerstedt operator
by: S. A. Aldashev
Published: (2015)
by: S. A. Aldashev
Published: (2015)
Solution of one boundary-value problem for a hyperbolic equation of the second order
by: Khoma, S. G., et al.
Published: (2000)
by: Khoma, S. G., et al.
Published: (2000)
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)
by: Midodashvili, B., et al.
Published: (2019)
On the problem on periodic solutions of one class of systems of difference equations
by: Ateiwi, A. M., et al.
Published: (1997)
by: Ateiwi, A. M., et al.
Published: (1997)
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
by: Shi, Y., et al.
Published: (2017)
by: Shi, Y., et al.
Published: (2017)
Similar Items
-
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) -
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) -
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) -
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) -
Well-posedness of many-dimensional Darboux problems for degenerating hyperbolic equations
by: Aldashev, S. A., et al.
Published: (1994)