TITLE:
Solvability of a Class of Operator-Differential Equations of Third Order with Complicated Characteristic on the Whole Real Axis
AUTHORS:
Abdel Baset I. Ahmed, Mohamed A. Labeeb
KEYWORDS:
Operator-Differential Equation, Hilbert Space, Self-Adjoint Operator, Intermediate Derivative Operator
JOURNAL NAME:
Open Access Library Journal,
Vol.5 No.6,
June
26,
2018
ABSTRACT: On the whole real axis, we demonstrate sufficient conditions of regular solvability of third order operator-differential equations with complicated characteristics. These conditions were formulated only by the operator coefficients of the equation. In addition, by the principal part of the equation, the norms of the operators of intermediate derivative were estimated.