A non-classical formula for integration by parts related to goursat problem for a pseudoparabolic equation

Mamedov I. G.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 4.

Abstract:
A formula for integration by parts of non-classical type is derived and an application to Goursat problem for the pseudoparabolic equation with non-smooth coefficients and with dominated derivatives of fourth order is find.

Keywords: Goursat problem, differential equations with non-smooth coefficients, generalized Riemann function, integral representation of solution.

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