Sufficient conditions involving summability methods are determined for oscillation of the equation y″+p(t)y=0. For example, if, for some positive integer\(k, \mathop \smallint \limits^t p\) is summable to + ∞ by the Cesàro mean of order k, then y″+p(t)y=0 is oscillatory.
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Supported by NASA Research Grant NGR-45-003-038.
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Coles, W.J., Willett, D. Summability criteria for oscillation of second order linear differential equations. Annali di Matematica 79, 391–398 (1968). https://doi.org/10.1007/BF02415185
- Differential Equation
- Positive Integer
- Linear Differential Equation
- Summability Method
- Order Linear Differential Equation