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The classical solution of the first mixed problem for a second-order hyperbolic equation with variable coefficients in the case of two independent variables in a curvilinear half-strip is considered. The… Click to show full abstract
The classical solution of the first mixed problem for a second-order hyperbolic equation with variable coefficients in the case of two independent variables in a curvilinear half-strip is considered. The existence and uniqueness of the classical solution under specific smoothness and matching conditions for given functions are proved. A method is proposed for constructing the solution using the method of sequential approximations for a system of integral equations of the second kind.
Keywords:
first mixed;
problem second;
solution first;
solution;
mixed problem;
classical solution
Journal Title: Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!