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Superlinear distributed deviating arguments to study second-order neutral differential equations

M. Vijayakumar, S‎. ‎K‎. Thamilvanan, B. Sudha, Shyam Sundar Santra, Dumitru Bǎleanu

2024Journal of Mathematics and Computer Science11 citationsDOIOpen Access PDF

Abstract

The main aim of this paper is to obtain new criteria for oscillating all solutions of second-order differential equations with distributed deviating arguments and superlinear neutral terms. Using the comparative and integral averaging techniques, we find new conditions for oscillation that generalize and add to some of the already found results. There are examples to show how important the main results are.

Topics & Concepts

Order (exchange)MathematicsDifferential equationDifferential (mechanical device)Applied mathematicsMathematical analysisPhysicsThermodynamicsEconomicsFinanceNumerical methods for differential equations