Integralungleichungen mit anwendungen auf lineare differentialgleichungen

Abstract

By means of sharp general integral inequalities criteria are given, which ensure that every nontrivial solution of a differential equation of the form w^(2m)+ F(x)w = 0 with complex-valued coefficient F of the real variable x has at most one zero of multiplicity m in an interval.

Keywords:

• Integral inequalities
• linear differential equations
• zeros

AMS(MOS):

• 34C10
• 26D10