On Nonlocal Problems for Pseudoparabolic Equations
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Three nonlocal problems for pseudoparabolic equations are considered. The method of solving of these problems is based on constructing the Riemann function for some differential operator of third order. The problems lead to respective integral equations. Sufficient conditions for existence of the solution of the nonlocal problems are given.
integral equations, Initial-boundary value problems for second-order parabolic equations, Integral representations of solutions to PDEs, Riemann function, existence, General existence and uniqueness theorems (PDE), pseudoparabolic equations, nonlocal problems, third order, Ultraparabolic equations, pseudoparabolic equations, etc.
integral equations, Initial-boundary value problems for second-order parabolic equations, Integral representations of solutions to PDEs, Riemann function, existence, General existence and uniqueness theorems (PDE), pseudoparabolic equations, nonlocal problems, third order, Ultraparabolic equations, pseudoparabolic equations, etc.
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