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

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## 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## Preview

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## References

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