This article is cited in 3 papers

Extremal Properties of Solutions of Special Classes of a Hyperbolic-Type Equation

V. M. Dolgopolov, I. N. Rodionova

Samara State University

Abstract: Special classes of solutions of the Cauchy problem for a hyperbolic equation are introduced and local extremum principles for the cases of positive and negative values of the parameter of the equation are established.

Keywords: hyperbolic equation, local extremum, Gauss hypergeometric function, Cauchy problem, extremum principle, boundary-value problem.

UDC: 517.953

Received: 05.12.2011

DOI: 10.4213/mzm8900

 English version: Mathematical Notes, 2012, 92:4, 490–496

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