NON-LOCAL BOUNDARY VALUE PROBLEMS FOR A LOADED PSEUDOPARABOLIC EQUATION OF THE THIRD ORDER

The existence of a unique solution to non-local problems in a rectangular domain for a loaded pseudoparabolic equation of the third-order is proved. Methods of the theory of differential equations, the theory of integral equations, the Riemann function are used. The problems under study are reduced to the equivalent Volterra integral equation of the second kind, which is certainly solvable.

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