1. Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation
- Author
-
Mohamed A. Labeeb, Labib Rashed, Abdel Baset I. Ahmed, and Nashat Faried
- Subjects
Self-adjoint operator ,Differential equation ,lcsh:Mathematics ,010102 general mathematics ,Initial-boundary value problems ,Space (mathematics) ,lcsh:QA1-939 ,01 natural sciences ,Intermediate derivative operator ,010101 applied mathematics ,Operator (computer programming) ,Operator-differential equation ,Order operator ,Applied mathematics ,Boundary value problem ,0101 mathematics ,Vector-valued function ,Mathematics - 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.
- Published
- 2019