Analysis of Some Boundary Value Problems for Equations of Mixed Type
Keywords:
Ordinary differential equations, differential equations with particular derivatives, function, Cauchy problem, boundary value problems, well-posed boundary value problem, fault line, elliptic and hyperbolic type equations, characteristic equation, equation of mixed type, parabolic fault line 'i, uniqueness of solution, existence of solution, Gaussian equationAbstract
The article contains brief information about ordinary and partial differential equations, their history and practical applications. Methods of solving boundary value problems for mixed-type equations are analyzed and the general idea is explained. As an example, the canonical representation of the generalized Tricomi equation, the uniqueness and existence of the solution to the Tricomi problem are described. A number of articles published in this direction have been analyzed.