Sturm - Liouville Problem
Sturm - Liouville Problem: The Sturm - Liouville Problem is a special class of linear homogeneous boundary value problem given in the following definition. Definition : Consider a second order homogeneous linear differential equation of the form d/dx [p(x) dy/dx ] + [q(x) + λ γ(x)]y=0, a≤x≤b ...............(1) where p, q and γ are real - valued continuous functions on [a,b] and λ is real parameter . Further consider the following two sets of prescribed conditions a1 y(a) + a2 y'(a) = 0} }...................(2) ...