Positive solutions to delayed differential equations of the second-order

DOI10.1016/j.aml.2019.02.022zbMath1412.34216OpenAlexW2917124439MaRDI QIDQ1739473

Miroslava Ružičková, Josef Diblík, Mária Kúdelčiková

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.022

zbMATH Keywords

asymptotic behaviordelaypositive solutionsdifferential equationsecond-ordertopological method

Mathematics Subject Classification ID

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

Related Items (3)

Existence of solutions in cones to delayed higher-order differential equations ⋮ The existence of periodic solutions for second-order delay differential systems ⋮ Existence of global solutions to nonlinear mixed-type functional differential equations

Cites Work

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• Two classes of asymptotically different positive solutions of the equation \(\dot y (t)= -f(t,y_t)\)
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Wazewski's principle for retarded functional differential equations
• Bounded oscillation for second-order delay differential equations with unstable type in a critical case
• Nonoscillation Theory of Functional Differential Equations with Applications
• A criterion for existence of positive solutions of systems of retarded functional differential equations
• Long-time behaviour of solutions of delayed-type linear differential equations

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