This article is cited in 2 papers

Differential Equations

Local and nonlocal value boundary problems for a third-order mixed-type equation equipped with Tricomi operator in its hyperbolic part

Zh. A. Balkizov

Kabardino-Balkar State University

Abstract: The existence and uniqueness of local and nonlocal value boundary problems for third-order mixed-type equations with multiple characteristics is proved. Uniqueness of the problem solution is proved with energy-integral method. The existence of the solution is proved with equivalent reduction method to Fredholm integral equations of the second kind with the help of Green's function.

Keywords: local value boundary problem, nonlocal value boundary problem, mixed-type equations, Green's function, Fredholm integral equation.

UDC: 517.946

MSC: Primary 35M10; Secondary 65N99

Original article submitted 01/VII/2008
revision submitted – 15/VII/2008

DOI: 10.14498/vsgtu391

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