Necessary and Sufficient Conditions for Oscillatory and Asymptotic Behaviour of Solutions to Second-Order Nonlinear Neutral Differential Equations with Several Delays

DOI10.2478/tmmp-2020-0008zbMath1482.34159OpenAlexW3031434889MaRDI QIDQ5142433

Shyam Sundar Santra

Publication date: 30 December 2020

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2020-0008

zbMATH Keywords

oscillationLebesgue's dominated convergence theoremnon-oscillationBanach's contraction principleoscillatory and asymptotic behaviorsecond-order nonlinear neutral delay differential equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

Related Items (5)

Second-order differential equation: oscillation theorems and applications ⋮ Explicit criteria for the oscillation of second-order differential equations with several sub-linear neutral coefficients ⋮ Oscillatory behavior of second-order neutral differential equations ⋮ Second-order differential equation with multiple delays: oscillation theorems and applications ⋮ Necessary and sufficient conditions for oscillation of solutions to second-order neutral differential equations with impulses

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