Fourth-order differential equations with neutral delay: Investigation of monotonic and oscillatory features
For fourth-order neutral di erential equations (NDE) in the canonical case, we present new
relationships between the solution and its corresponding function in two casses: p < 1 and p > 1.
Through these relationships, we discover new monotonic properties for this equation of fourth order.
Using the new relationships and properties, we derive some oscillation conditions for the equation
under study. By using the Comparison and Ricatti technique, the positive solutions are excluded
by providing some conditions. Lastly, we provide examples and review previous theorems from the
literature to compare our findings.
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