Cover Image

Goursat-Type Problem for a Higher-Order Equation

For a higher-order equation with leading mixed derivative, we consider the Goursat-type problem without consistency conditions. The notion of fundamental solution is introduced. By using this notion, we obtain a representation of the solution of the analyzed problem.

Saved in:

Bibliographic Details
Date:	2013
Main Authors:	Yusubov, Sh. Sh., Юсубов, Ш. Ш.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2013
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2474
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

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

Goursat-Type Problem for a Higher-Order Equation
by: Sh. Sh. Jusubov
Published: (2013)

Задача типа Гурса для уравнения высокого порядка
by: Юсубов, Ш.Ш.
Published: (2013)

On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation
by: Shabozov, M. Sh., et al.
Published: (1998)

On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
by: Karimov, Sh. T., et al.
Published: (2017)

On the exact degree of complexity of a class of operator equations of the second kind in a Hilbert space
by: Makhkamov, K. Sh., et al.
Published: (1994)

Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators
by: Shabozov, M. Sh., et al.
Published: (1995)

Exact Jackson - Stechkin-type inequalities for 2π -periodic functions in L 2 and widths of some classes of functions
by: Shabozov, M. Sh., et al.
Published: (2011)

An estimate of the remainder term in the central limit theorem for $r$-independent random variables
by: Sharakhmetov, Sh., et al.
Published: (1993)

Optimal control of Goursat–Darboux-type polyhedral differential inclusions
by: Mahmudov, Elimhan N., et al.
Published: (2026)

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

Базы единственности в бесконечных регулярных $p$-группах
by: Kemhadze, Sh. S., et al.
Published: (1949)

On asymptotic solution of the mixed problem for a hyperbolic delay equation
by: Balla, E. Sh., et al.
Published: (1971)

Determination of jumps in terms of linear operators
by: Zviadadze, Sh., et al.
Published: (2015)

An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity
by: Shabozov, M. Sh., et al.
Published: (1995)

Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type
by: Vakarchuk, S. B., et al.
Published: (1996)

Estimates for sums of independent random values in symmetrical spaces
by: Braverman , M. Sh., et al.
Published: (2025)

Регіональні й глобальні наслідки незалежності Косово
by: Гахраманова, Ш.Ш.
Published: (2010)

On the error of the interpolation by bilinear splines
by: Shabozov, M. Sh., et al.
Published: (1994)

Some approaches to the construction of approximate solutions of the generalized Goursat problem for systems of certain quasilinear partial differential equations with deviating argument
by: Marynetz, V. V., et al.
Published: (1995)

Galilei-invariant higher-order equations of burgers and korteweg-de vries types
by: Boiko, V. M., et al.
Published: (1996)

Problem with pulse action for a linear stochastic parabolic equation of higher order
by: Perun, H. M., et al.
Published: (2008)

Information complexity of weakly singular integral equations
by: Makhkamov, K. Sh., et al.
Published: (1994)

Qualitative properties of solutions of the Neumann problem for a higher-order quasilinear parabolic equation
by: Tedeev, A. F., et al.
Published: (1993)

Correctness of the Cauchy problem for trinomial higher-order operator differential equations
by: Shklyar, A. Ya., et al.
Published: (1993)

Solution of contact problem for plane weakened of variable width slot in inhomogeneous stress field
by: Гасанов, Ш. Г.
Published: (2017)

Solution of contact problem for plane weakened of variable width slot in inhomogeneous stress field
by: Гасанов, Ш. Г.
Published: (2017)

Физико-технологические основы получения резкого p–n-перехода
by: Каримов, А.В., et al.
Published: (2006)

Nonlocal problem for a system of partial differential equations of higher order with pulsed actions
by: A. T. Asanova, et al.
Published: (2019)

Multipoint boundary-value problems for systems of differential equations of higher order
by: V. O. Soldatov
Published: (2015)

Theorem of the «fork» in Cauchy’s problem for nonlinear partial differential equations of higher orders
by: Kovach, Y. I., et al.
Published: (1966)

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)

Inequalities for Eigenvalues of a System of Higher-Order Differential Equations
by: H.-J. Sun
Published: (2014)

Inequalities for eigenvalues of a system of higher-order differential equations
by: Sun, H.J.
Published: (2014)

Global asymptotic stability of a higher order difference equation
by: Hamza, A.E., et al.
Published: (2007)

Inequalities for Eigenvalues of a System of Higher-Order Differential Equations
by: Sun, He-Jun, et al.
Published: (2014)

On the oscillation of higher order delay differential equations
by: Baculikova, B., et al.
Published: (2012)

Boundary-value problem for a class of nonlinear systems of partial differential equations of higher orders
by: S. S. Kharibehashvili, et al.
Published: (2022)

Boundary-value problem for a class of nonlinear systems of partial differential equations of higher orders
by: Kharibegashvili, S. S., et al.
Published: (2022)

Mixed problem for higher-order equations with fractional derivative and degeneration in both variables
by: Yu. Irgashev
Published: (2022)