Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation-Reference-Cited by-同舟云学术

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

Published:2019-10-21 Issue:1 Volume:27 Page:
ISSN:2090-9128
Container-title:Journal of the Egyptian Mathematical Society
language:en
Short-container-title:J Egypt Math Soc

Author:

Faried Nashat,Rashed Labib,Ahmed Abdel Baset I.,Labeeb Mohamed A.

Abstract

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.

Publisher

Springer Science and Business Media LLC

Link

http://link.springer.com/content/pdf/10.1186/s42787-019-0036-7.pdf

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