Abstract
In this work, we find the asymptotic formulas for the sum of the negative eigenvalues smaller than ?? (? > 0) of a self-adjoint operator L defined by the following differential expression ?(y)=?(p(x)y?(x))??Q(x)y(x) with the boundary condition y(0) = 0 in the space L2(0,?;H).
Keywords
Mathematics
Eigenvalues and eigenvectors
Operator (biology)
Differential operator
Mathematical analysis
Boundary value problem
Differential equation
Boundary (topology)
Space (punctuation)
Pure mathematics
Mathematical physics
Quantum mechanics
Subject Areas
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
Spectral Theory in Mathematical Physics
·Mathematical Physics ·Physical Sciences
Numerical methods in inverse problems
·Mathematical Physics ·Physical Sciences
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