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Solvability of a Class of Operator-Differential Equations of Third Order with Complicated Characteristic on the Whole Real AxisDOI: 10.4236/oalib.1104631, PP. 1-5 Subject Areas: Ordinary Differential Equation Keywords: Operator-Differential Equation, Hilbert Space, Self-Adjoint Operator, Intermediate Derivative Operator 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.
Ahmed, A. B. I. and Labeeb, M. A. (2018). Solvability of a Class of Operator-Differential Equations of Third Order with Complicated Characteristic on the Whole Real Axis. Open Access Library Journal, 5, e4631. doi: http://dx.doi.org/10.4236/oalib.1104631. References
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