We construct multiplicative Green’s (or ∗Green’s) function for ∗Sturm-Liouville (∗SL) equation. The basic properties of ∗Green’s function are given. Then, ∗SL equation is evaluated by using ∗Green’s ...

Applicable Analysis and Discrete Mathematics, Vol. 3, No. 1 (April 2009), pp. 88-96 (9 pages) A new version of discrete Hilbert type inequality is given where the kernel function is non-homogeneous.