This article is cited in 4 papers

Differential Equations

Modified Cauchy Problem for One Hyperbolic Equation of the Third Order in Three-dimensional Space

V. M. Dolgopolov, I. N. Rodionova

Samara State University. Dept. of Mathematics, Computer Science and Mathematical Methods in Economy

Abstract: Existence and uniqueness of the solution for the modified Cauchy problem with data located on the plane of singularity of a hyperbolic equation of the third order coefficients in three-dimensional space is proved by Riemann method.

Keywords: integral equations, hyperbolic differential equations.

UDC: 517.955

MSC: 35G30, 35Q05, 35L25

Original article submitted 15/I/2009
revision submitted – 12/II/2009

DOI: 10.14498/vsgtu666

Bibliographic databases:

• 
•