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单词 Sturm-Liouville Equation
释义

Sturm-Liouville Equation

A second-order Ordinary Differential Equation


where is a constant and is a known function called either the density or Weighting Function. Thesolutions (with appropriate boundary conditions) of are called Eigenvalues and thecorresponding Eigenfunctions. The solutions of this equation satisfy importantmathematical properties under appropriate boundary conditions (Arfken 1985).

See also Adjoint Operator, Self-Adjoint Operator


References

Arfken, G. ``Sturm-Liouville Theory--Orthogonal Functions.'' Ch. 9 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 497-538, 1985.


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