zbMATH — the first resource for mathematics

Extremal properties of solutions of special classes of a hyperbolic-type equation. (English. Russian original) Zbl 1262.35148
Math. Notes 92, No. 4, 490-496 (2012); translation from Mat. Zametki 92, No. 4, 533-540 (2012).
Summary: 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.

35L20 Initial-boundary value problems for second-order hyperbolic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
Full Text: DOI
[1] V. M. Dolgopolov, M. V. Dolgopolov, and I. N. Rodionova, ”Construction of special classes of solutions for some differential equations of hyperbolic type,” Dokl. Ross. Akad. Nauk 429(5), 583–589 (2009) [Dokl. Math. 80(3), 860–866 (2009)]. · Zbl 1180.35330
[2] H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. 1: The Hypergeometric Function, Legendre Functions (McGraw-Hill, New York-Toronto-London, 1953; Nauka, Moscow, 1965 and 1973 (2nd ed.)).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.