CONDITIONAL SOLVABILITY OF THE BOUNDARY VALUE
PROBLEM OF A SELF-ADJOINT OPERATOR-DIFFERENTIAL
EQUATIONS IN A SOBOLEV-TYPE SPACE
Mohamed A. Labeeb1, Abdel Baset I. Ahmed2, Labib Rashed3
1Egyptian Russian University, EGYPT
2Helwan University, EGYPT
3Ain Shams University, EGYPT

Abstract

In this paper, in the space of Sobolev type $W_{2}^{5} \left(R;H\right)$ obtained the sufficient conditions of regular solvability of initial-boundary value problem of fifth order operator-differential equations with complicated characteristics on the real axis, these conditions depend only on the operator coefficients of the considered equation. The exact values of norms of the intermediate derivatives operators of the essential part of the investigated equation are obtained.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 3
Year: 2019

DOI: 10.12732/ijam.v32i3.8

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