Abstract:
In this paper, we discuss some of important qualitative properties of solutions of second-order hyperbolic equations, whose coefficients of the terms involving the second-order derivatives are independent of the desired function and its derivatives. Solutions of these equations have a special property called curvilinear parallelogram identity (or mean-value property), which can be used to solve some initial-boundary value problems.
Keywords and phrases:hyperbolic equation, characteristics parallelogram, mean-value theorem, mean-value property.
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