Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments | Zendy

Cemil Tunç | Zendy

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Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments

Author(s) -

Cemil Tunç

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/392386

Subject(s) - mathematics , bounded function , order (exchange) , functional differential equation , differential equation , third order , work (physics) , mathematical analysis , constant (computer programming) , differential (mechanical device) , functional analysis , computer science , mechanical engineering , philosophy , biochemistry , chemistry , theology , finance , aerospace engineering , engineering , economics , gene , programming language

This paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. Using the Lyapunov-Krasovskii functional approach, we find certain sufficient conditions for the solutions to be stable and bounded. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here

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