On the Solvability of the Boundary-Value Problem for the First Order Operator-Differential Equations with Multiple Characteristics - Open Access Library Journal

OALibJ > Vol.4 No.12, December 2017

On the Solvability of the Boundary-Value Problem for the First Order Operator-Differential Equations with Multiple Characteristics ()

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DOI: 10.4236/oalib.1104155 668 Downloads 1,336 Views

Author(s)

Mohamed A. Labeeb¹, Ahmed L. Elbably², Abdel Baset I. Ahmed¹

Affiliation(s)

¹Egyptian Russian University, Badr City, Egypt.
²Helwan University, Helwan, Egypt.

ABSTRACT

In this paper, a class of operator-differential equation of the first order with multiple characteristics is considered, for which the initial boundary value problem on the semi-axis is well-posed and uniquely solvable in the Sobolev space.

KEYWORDS

Operator-Differential Equation, Boundary-Value Problem, Hilbert Space, Reg-ular Solvability

Share and Cite:

Labeeb, M. , Elbably, A. and Ahmed, A. (2017) On the Solvability of the Boundary-Value Problem for the First Order Operator-Differential Equations with Multiple Characteristics. Open Access Library Journal, 4, 1-4. doi: 10.4236/oalib.1104155.

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