On Goursat and Dirichlet problems for one equation of the third order
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We study the problem of the unique solvability of Goursat and Dirichlet problems for one partial differential equation of the third order. We construct a Riemann function for a linear third-order equation with a hyperbolic operator in the principal part, study some properties of the Riemann function, and then use them to prove theorems on the existence and uniqueness of a solution of the problems indicated.
KeywordsDirichlet Problem Principal Part Unique Solvability Homogeneous Boundary Condition Riemann Function
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