2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214095The Cauchy problem for the hyperbolic Monge-Ampere equation is considered. The equation has the most general form. Coefficients are arbitrary functions depending on two independent variables, unknown function, and first order derivatives. Sufficient conditions on the existence of a (unique) C^3-solution on the whole plain are formulated.43 pages. English, RussianAnalysis of PDEs35L60; 35L70text