Geodesic
Extremal Properties of Solutions of Special Classes of a Hyperbolic-Type Equation
Matematičeskie zametki, Tome 92 (2012) no. 4, pp. 533-540 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. M. Dolgopolov; I. N. Rodionova. Extremal Properties of Solutions of Special Classes of a Hyperbolic-Type Equation. Matematičeskie zametki, Tome 92 (2012) no. 4, pp. 533-540. http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a4/

[1] V. M. Dolgopolov, M. V. Dolgopolov, I. N. Rodionova, “Postroenie spetsialnykh klassov reshenii nekotorykh differentsialnykh uravnenii giperbolicheskogo tipa”, DAN, 429:5 (2009), 583–589 | MR | Zbl

[2] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii. Gipergeometricheskaya funktsiya. Funktsii Lezhandra, Spravochnaya matematicheskaya biblioteka, Nauka, M., 1973 | MR | Zbl