Abstract
In this work, we find the asymptotic formulas for the sum of the negative eigenvalues smaller than $-\varepsilon$ $(\varepsilon >0)$ of a self-adjoint operator $L$ which is defined by the following differential expression $$\ell(y)=-(p(x)y'(x))'-Q(x)y(x)$$ with the boundary condition $y(0) = 0$ in the space in the space $L_{2}(0,\infty ;H)$.
Keywords
Eigenvalues and eigenvectors
Mathematics
Operator (biology)
Space (punctuation)
Self-adjoint operator
Boundary (topology)
Mathematical analysis
Boundary value problem
Differential operator
Pure mathematics
Mathematical physics
Combinatorics
Physics
Hilbert space
Quantum mechanics
Chemistry
Subject Areas
Spectral Theory in Mathematical Physics
·Mathematical Physics ·Physical Sciences
Advanced Mathematical Modeling in Engineering
·Computational Theory and Mathematics ·Physical Sciences
Numerical methods in inverse problems
·Mathematical Physics ·Physical Sciences
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