I. G. Mamedov, “A non-classical formula for integration by parts related to Goursat problem for a pseudoparabolic equation”, Vladikavkaz. Mat. Zh., 2011, Volume 13, Number 4,Pages <nobr>40

This article is cited in 3 papers

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

I. G. Mamedov

Institute of Cybernetics named after Academician A. Huseynov, National Academy of Sciences of Aserbaijan, Baku, Aserbaijan

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.

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

UDC: 517.956

Received: 18.02.2011