A class diffractive boundary value problem with multiple characteristic

Author(s):  
Wu Fontong
2019 ◽  
Vol 27 (1) ◽  
Author(s):  
Nashat Faried ◽  
Labib Rashed ◽  
Abdel Baset I. Ahmed ◽  
Mohamed A. Labeeb

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.


2012 ◽  
Vol 71 (16) ◽  
pp. 1511-1527
Author(s):  
Yu. F. Boltov ◽  
I. A. Volkov

Sign in / Sign up

Export Citation Format

Share Document