Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays.
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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