Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 27, Issue 1, 2019, Pages 1-7 PDF (440.47 K) | ||
| DOI: 10.1186/s42787-019-0036-7 | ||
| Authors | ||
| Nashat Faried; Labib Rashed; Abdel Baset I. Ahmed; Mohamed A. Labeeb | ||
| Helwan University, 11865 Cairo, Egypt | ||
| 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 | ||
| Initial-boundary value problems; Operator-differential equation; Self-adjoint operator; Intermediate derivative operator | ||
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