On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations | Zendy

Muzaffer Ateş | Zendy

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On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations

Author(s) -

Muzaffer Ateş

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/103260

Subject(s) - mathematics , generalization , nonlinear system , mathematical proof , stability (learning theory) , differential equation , lyapunov function , order (exchange) , mathematical analysis , computer science , physics , geometry , finance , quantum mechanics , machine learning , economics

We studied the global stability and boundedness results of third-order nonlinear differential equations of the form . Particular cases of this equation have been studied by many authors over years. However, this particular form is a generalization of the earlier ones. A Lyapunov function was used for the proofs of the two main theorems: one with and the other with . The results in this paper generalize those of other authors who have studied particular cases of the differential equations. Finally, a concrete example is given to check our results

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