Asymptotic Behavior of Eigenvalues in Sturm Liouville Boundary Value Problem in Boundary Points

Sturm Liouville boundary value problem with initial conditions in boundary points as Ly= ( ') ' py qy y     can be written as differential equation system. Every first order differential equation system has single answer. If basic answer of differential equation system is ) , , , , (   w p u t , by definition and putting   0    , Eigenvalues of Sturm Liouville problem which is a function of boundary points can be obtained. By approximation of the interval to zero, the first Eigenvalue of Neumann has finite limit. And other Eigenvalues goes toward infinity and by distancing interval, Eigenvalues are placed between two limit values.