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Mathematical Notes

, Volume 96, Issue 1–2, pp 239–247 | Cite as

Nonclassical analog of the Goursat problem for a three-dimensional equation with highest derivative

  • I. G. Mamedov
Article

Abstract

In the present paper, we study the Goursat problem for a three-dimensional equation with highest derivative of fifth order with L p -coefficients and establish a homeomorphism between certain pairs of Banach spaces by reducing this problem to the equivalent Volterra integral equation.

Keywords

three-dimensional equation with highest derivative of fifth order Goursat problem Volterra integral equation Sobolev space 

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Guseinov Institute of CyberneticsNational Academy of Sciences of AzerbaijanBakuAzerbaijan

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