The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions
Keyword(s):
This paper presents a method to obtain lower and upper bounds for the minimum distance between pointsaandbof the solution of the second order linear differential equationy′′+q(x)y=0satisfying general separated boundary conditions of the typea11y(a)+a12y′(a)=0anda21y(b)+a22y′(b)=0. The method is based on the recursive application of a linear operator to certain functions, a recursive application that makes these bounds converge to the exact distance betweenaandbas the recursivity index grows. The method covers conjugacy and disfocality as particular cases.
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