This article is cited in 2 papers

Differential Equations

Non-local Problem with Non-linear Conditions For a Hyperbolic Equation

V. B. Dmitriev

Samara municipal management institute. Dept. of Mathematical Methods and Information Technologies

Abstract: Non-local problem with non-linear integral condition for the hyperbolic equation with random size space variables is studied. Existence of the unique generalized solution is proved.

Keywords: non-local problem, nonlinear conditions, hyperbolic equation, estimation, generalized solution.

UDC: 517.956.3

MSC: 56U78

Original article submitted 26/X/2008
revision submitted – 09/II/2009

DOI: 10.14498/vsgtu644

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