On -zeros of solutions of linear differential equations of order

Author:
Jerry R. Ridenhour

Journal:
Proc. Amer. Math. Soc. **44** (1974), 135-140

MSC:
Primary 34C10

DOI:
https://doi.org/10.1090/S0002-9939-1974-0330630-1

MathSciNet review:
0330630

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Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions on the coefficients are given which guarantee that no nontrivial solution of has two distinct zeros each of order at least . These conditions are in the form of inequalities which are satisfied by linear combinations of the coefficients and their derivatives.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0330630-1

Keywords:
Linear differential equations of order ,
-zeros of solutions,
auxiliary function,
inequalities satisfied by coefficients,
Wronskian matrix,
factorization of differential operators

Article copyright:
© Copyright 1974
American Mathematical Society