Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments | Zendy

Cemil Tunç | Zendy

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Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments

Author(s) -

Cemil Tunç

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/406835

Subject(s) - mathematics , nonlinear system , order (exchange) , differential equation , lyapunov function , third order , differential (mechanical device) , mathematical analysis , work (physics) , law , mechanical engineering , physics , engineering , finance , quantum mechanics , economics , aerospace engineering , political science

We establish certain new sufficient conditions which guarantee the existence of periodic solutions for a nonlinear differential equation of the third order with multiple deviating arguments. Using the Lyapunov functional approach, we prove a specific theorem and provide an example to illustrate the theoretical analysis in this work and the effectiveness of the method utilized here

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