Some problems for multidimensional integro-differential equations of hyperbolic type
We prove the well-posedness of the Cauchy, Goursat, and Darboux problems for multidimensional in-tegro-differential equations of the hyperbolic type encountered in biology.
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | Aldashev, S. A., Алдашев, С. А. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4453 |
| 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
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)
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)
Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations
by: Aldashev, S. A., et al.
Published: (2003)
by: Aldashev, S. A., et al.
Published: (2003)
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)
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)
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)
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 many-dimensional Darboux problems for degenerating hyperbolic equations
by: Aldashev, S. A., et al.
Published: (1994)
by: Aldashev, S. A., et al.
Published: (1994)
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)
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)
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)
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)
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)
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)
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)
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)
Optimization of the integro-differential hyperbolic model
by: A. Anikushyn, et al.
Published: (2024)
by: A. Anikushyn, et al.
Published: (2024)
Optimization of the integro-differential hyperbolic model
by: Anikushyn, A., et al.
Published: (2024)
by: Anikushyn, A., et al.
Published: (2024)
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)
Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order
by: Petrovskii, Ya. B., et al.
Published: (1996)
by: Petrovskii, Ya. B., et al.
Published: (1996)
On application of the averaging method to the solution of one non-linear integro-differential equation with small parameter of hyperbolic type
by: Melіkіdze, T. V., et al.
Published: (1971)
by: Melіkіdze, T. V., et al.
Published: (1971)
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)
Stabilization of the Cauchy problem for integro-differential equations
by: Kengne, E., et al.
Published: (2005)
by: Kengne, E., et al.
Published: (2005)
Stabilization of the Cauchy problem for integro-differential equations
by: Kengne, E., et al.
Published: (2005)
by: Kengne, E., et al.
Published: (2005)
Integro-differential equations with multivalued solutions
by: Plotnikov, A. V., et al.
Published: (2000)
by: Plotnikov, A. V., et al.
Published: (2000)
A multipoint problem for partial integro-differential equations
by: Vasylyshyn, P. B., et al.
Published: (1998)
by: Vasylyshyn, P. B., et al.
Published: (1998)
Some remarks on linear functional differential inequalities of hyperbolic type
by: Šremr, J., et al.
Published: (2008)
by: Šremr, J., et al.
Published: (2008)
Factorization of a convolution-type integro-differential equation on the positive half line
by: Khachatryan, A. Kh., et al.
Published: (2008)
by: Khachatryan, A. Kh., et al.
Published: (2008)
Boundary-Value problems for systems of integro-differential equations with Degenerate Kernel
by: Boichuk, О. A., et al.
Published: (1996)
by: Boichuk, О. A., et al.
Published: (1996)
Factorization of a convolution-type integro-differential equation on the positive half line
by: Khachatryan, A.Kh., et al.
Published: (2008)
by: Khachatryan, A.Kh., et al.
Published: (2008)
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)
by: Eleev, V. A., et al.
Published: (2000)
Spectral problem for discontinuous integro-differential operator
by: Keskin, B., et al.
Published: (2012)
by: Keskin, B., et al.
Published: (2012)
On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type
by: Kolomiyets, V. G., et al.
Published: (2003)
by: Kolomiyets, V. G., et al.
Published: (2003)
Weakly linear systems of integro-differential equations
by: O. A. Boichuk, et al.
Published: (2013)
by: O. A. Boichuk, et al.
Published: (2013)
Reduction of non-linear integro-differential equations in the Banach space to a special type
by: Melikidze, T. V., et al.
Published: (1971)
by: Melikidze, T. V., et al.
Published: (1971)
On the initial boundary-value problem for the integro-differential equation of third order
by: A. T. Asanova, et al.
Published: (2019)
by: A. T. Asanova, et al.
Published: (2019)
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)
Similar Items
-
On some boundary value problems for linear multidimensional hyperbolic equations of the second order
by: Aldashev , S. A., et al.
Published: (1991) -
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) -
Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations
by: Aldashev, S. A., et al.
Published: (2003) -
Well-posedness of mixed problems for multidimensional hyperbolic equations with
wave operator
by: Aldashev, S. A., et al.
Published: (2017) -
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)