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Necessary and sufficient conditions have been found to force all solutions of the equation
to behave in peculiar ways. These results are then extended to the elliptic equation
where is the Laplace operator and is an integer.
Qualitative comparison of the nonoscillatory behavior of the equations
and
is sought by way of finding different nonoscillation criteria for the above equations. is a disconjugate operator of the form
Both canonical and noncanonical forms of have been studied.
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