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Laplace transform technique for pseudoparabolic equation with nonlocal conditions. (English) Zbl 1291.35121

Summary: We present a Laplace transform technique for solving the pseudoparabolic equation with nonlocal (integral) conditions. A Laplace transform technique is described for the solution of the considered equation. Finally, we obtain the solution using a numerical technique by inverting the Laplace transform.

MSC:

35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
40A05 Convergence and divergence of series and sequences
40A25 Approximation to limiting values (summation of series, etc.)
45G05 Singular nonlinear integral equations
35A22 Transform methods (e.g., integral transforms) applied to PDEs
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