Comparison principle for second-order neutral differential equations
Authors
B. Baculikova
- Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, Letna 9, 042 00 Kosice, Slovakia.
Abstract
Based on a comparison with the first-order delay equations, we obtain new criteria for oscillation of the second-order neutral delay differential equations of the form
\[
\left(r(t)[x(t)+q(t)x(\sigma(t))]'\right)'+p(t)x(\tau(t))=0,\,\,\,\,t\geq t_0>0.
\]
Some new results are presented that improve related ones. Our approach essentially involves establishing stronger monotonicity properties for the positive solutions of studied equations.
We illustrate the improvement over the known results by applying and comparing our method with the other known results for the studied equation.
Share and Cite
ISRP Style
B. Baculikova, Comparison principle for second-order neutral differential equations, Journal of Mathematics and Computer Science, 41 (2026), no. 1, 1--8
AMA Style
Baculikova B., Comparison principle for second-order neutral differential equations. J Math Comput SCI-JM. (2026); 41(1):1--8
Chicago/Turabian Style
Baculikova, B.. "Comparison principle for second-order neutral differential equations." Journal of Mathematics and Computer Science, 41, no. 1 (2026): 1--8
Keywords
- Second-order
- neutral differential equations
- delay
- monotonic properties
- oscillation
MSC
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