Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation

Authors

Helwan University, 11865 Cairo, Egypt

https://doi.org/10.1186/s42787-019-0036-7

Abstract

In this study, we establish existence-uniqueness of a vector function in appropriate
Sobolev-type space for a boundary value problem of a fifth-order operator differential
equation. Proper conditions are obtained for the given problem to be well-posed.
Much effort is devoted to develop the association between these conditions and the
operator coefficients of the investigated equation. In this paper, accurate estimates of
the norms of the intermediate derivatives operators are presented and used to
determine the solvability conditions.
 

Keywords

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1
2019
Pages 1-7

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