A note on the stability and boundedness of non-autonomous differential equations of second order with a variable deviating argument

DOI10.1007/s13370-012-0126-2zbMath1306.34113OpenAlexW1965697564MaRDI QIDQ467994

Cemil Tunç

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0126-2

zbMATH Keywords

stabilityfixed pointsboundednessdeviating argumentsecond ordernon-autonomous differential equationLyapunov-Krasovskiì functional approach

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

Stability and boundedness of solutions to a certain second-order nonautonomous stochastic differential equation ⋮ Unnamed Item ⋮ On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global existence and boundedness of solutions of a certain nonlinear integro-differential equation of second order with multiple deviating arguments ⋮ PERMUTATION GROUPS AND PERIODICITY OF SYSTEMS OF DIFFERENCE EQUATIONS ⋮ Unnamed Item

Cites Work

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• Study the stability of solutions of functional differential equations via fixed points
• Stability and periodic solutions of ordinary and functional differential equations
• Theory of functional differential equations. 2nd ed
• On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments
• Boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order
• Stability, boundedness and uniform boundedness of solutions of nonlinear delay differential equations

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