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أحمد معيض الشمراني

Professor

أستاذ بحوث العمليات

كلية العلوم
مبنى 4 مكتب أ ب 26
publication
Journal Article
2024

Fourth-order differential equations with neutral delay: Investigation of monotonic and oscillatory features

For fourth-order neutral dierential 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.

Publisher Name
AIMS
Publishing City
USA
Volume Number
9
Issue Number
12
Magazine \ Newspaper
AIMS Mathematics
Pages
34224-34247
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