Abstract
In this work, we prove that the closure of a symmetric operator L0 which is formed by differential expression (L0y)(x )= −(p(x)y � (x)) � − Q(x)y(x) and with the boundary condition cos α.y(0) + sin α.y � (0) = 0 is self adjoint where α ∈ (−∞, ∞) in the space L2(0, ∞; H ). Furthermore, we investigate some properties of this operator.
Keywords
Differential operator
Operator (biology)
Mathematics
Semi-elliptic operator
Mathematical analysis
Shift operator
Quasinormal operator
Finite-rank operator
Compact operator
Computer science
Chemistry
Extension (predicate logic)
Subject Areas
Differential Equations and Numerical Methods
·Numerical Analysis ·Physical Sciences
Spectral Theory in Mathematical Physics
·Mathematical Physics ·Physical Sciences
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
Citations by Year
2012: 1
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