Necessary and sufficient condition for oscillation of nonlinear neutral first-order differential equations with several delays

DOI10.1007/s11784-018-0506-9zbMath1387.34095OpenAlexW2790191400MaRDI QIDQ1742544

Shyam Sundar Santra, Sandra Pinelas

Publication date: 11 April 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0506-9

zbMATH Keywords

oscillationdelayneutral differential equationsnonoscillationnon-linear

Mathematics Subject Classification ID

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

Related Items (13)

Necessary and Sufficient Condition for Oscillatory and Asymptotic Behaviour of Second-Order Functional Differential Equations ⋮ Some conditions for the oscillation of second-order differential equations with several mixed delays ⋮ Second-order differential equation: oscillation theorems and applications ⋮ Explicit criteria for the oscillation of second-order differential equations with several sub-linear neutral coefficients ⋮ Unnamed Item ⋮ Oscillatory behavior of second-order neutral differential equations ⋮ New criteria for the oscillation and asymptotic behavior of second-order neutral differential equations with several delays ⋮ 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 ⋮ On the qualitative behavior of the solutions to second-order neutral delay differential equations ⋮ Necessary and sufficient conditions for oscillation of second-order differential equations with nonpositive neutral coefficients ⋮ Necessary and sufficient conditions for oscillation to second-order half-linear delay differential equations ⋮ Necessary and sufficient conditions for oscillation of nonlinear first-order forced differential equations with several delays of neutral type

Cites Work

• The existence of nonoscillatory solutions of higher order nonlinear neutral equations
• Existence of bounded nonoscillatory solutions of first-order nonlinear neutral delay differential equations
• New oscillation criteria for first order nonlinear neutral delay differential equations
• Oscillation criteria for a linear neutral differential equation.
• Oscillation criteria of first order neutral delay differential equations with variable coefficients
• Existence of positive solutions of higher-order nonlinear neutral equations
• Oscillation criteria for nonlinear functional differential equations of neutral type
• Existence of nonoscillatory solutions of first-order linear neutral delay differential equations
• Necessary and sufficient conditions for oscillation of first order nonlinear neutral differential equations
• Oscillation criteria for first order neutral differential equations with positive and neagative coefficients
• Oscillation for first-order nonlinear delay differential equations
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