ON THE EXISTENCE FOR ALMOST EVERYWHERE SOLUTION OF MULTI-DIMENSIONAL MIXED PROBLEM FOR ONE CLASS THIRD ORDER DIFFERENTIAL EQUATIONS WITH NONLINEAR OPERATOR IN THE RIGHT-HAND SIDE

S. Aliyev, A. Aliyeva

IJPAM: Volume 115, No. 3 (2017)

Title

ON THE EXISTENCE FOR ALMOST EVERYWHERE
SOLUTION OF MULTI-DIMENSIONAL MIXED PROBLEM
FOR ONE CLASS THIRD ORDER DIFFERENTIAL
EQUATIONS WITH NONLINEAR OPERATOR IN
THE RIGHT-HAND SIDE

Authors

Samad Aliyev

, Arzu Aliyeva

$^{1}$ Department of Mathematics and Methods of its Teaching
Faculty of Mechanics and Mathematics
Baku State University
AZ 1148, 23 Z. Khalilov Street, Baku, REPUBLIC OF AZERBAIJAN
$^{2}$ Department of Differential Equations
Institute of Mathematics and Mechanics
National Academy of Sciences of Azerbaijan
AZ 1141, 9 B.Vagabzade Street, Baku, REPUBLIC OF AZERBAIJAN

Abstract

The existence theorem for the solution of an almost everywhere multidimensional mixed problem for a class of third-order differential equations with nonlinear operator right-hand side has been proved.

History

Received: May 29, 2017
Revised: July 2, 2017
Published: July 27, 2017

AMS Classification, Key Words

AMS Subject Classification: 35A01, 35A08, 35A22
Key Words and Phrases: continuously differentiable finite functions, differential equations, Fourier method

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Bibliography

1: O.A. Ladyzhenskaya, Mixed Problem for the Hyperbolic Equation, Moscow, Gostekhizdat, 1953.
2: E. Yukiyoshi, On some nonlinear evolution equations with the strong dissipation, Journal of Differential Equations, 45, No. 3 (1982), 332-355.
3: T. Yu, H.-O. Yang, Initial boundary value problem for a class of strongly damped nonlinear wave equation, Journal of Harbin Engineering University, 25, No. 2 (2004), 254-256.
4: K.I. Xudaverdiyev, S. Aliyev, A multidimensional mixed problem for one class of semilinear pseudohyperbolic equations of the third order, Baku (2012), To appear.
5: K.I. Xudaverdiyev, A multidimensional mixed problem for nonlinear hyperbolic equations, Baku (2011), To appear.

How to Cite?

DOI: 10.12732/ijpam.v115i3.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 3
Pages: 549 - 560

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