[
Bender C.M., Orszag S.A. (1999): Advanced Mathematical Method for Scientists and Engineers Asymptotic Methods and Perturbation. Springer New York, McGraw Hill: 545-551.
]Search in Google Scholar
[
Cartwright M.L. (1956): On the Stability of Solution of Certain Differential equation of the Fourth Order Quarter. Journal of Mechanics and Applied Mathematics 9: 185-194.
]Search in Google Scholar
[
Chen H., Li Y. (2000): Existence, Uniqueness and Stability of Periodic Solution of an Equation of Duffing type. Journal of American International Mathematical Society 10(10): 10-20.
]Search in Google Scholar
[
Daxiong P., Wenling L. (2008): Boundedness of Solution for Reversible System via Moser Twist theorem. Elsevier. Journal of Mathematical Analysis and Applications 341: 1224-1235.
]Search in Google Scholar
[
Ding T. (1986): Boundedness of Solutions of Duffing’s Equation. Journal of Differential Equation 61: 178-207.
]Search in Google Scholar
[
Eze E.O., Obasi U.E., Agwu E.U. (2019a): Stability Analysis of Periodic Solutions of Some Duffing’s Equation. Open Journal of Applied Sciences 9: 198-24.
]Search in Google Scholar
[
Eze E.O., Udaya C.O., Agwu E.U. (2019b): On Existence and Uniqueness of Solutions of Non-Linear First Order Differential Equation Using Implicit Function Theorem in Banach Space. Journal of the Nigerian Association of Mathematical Physics 50: 9-12.
]Search in Google Scholar
[
Eze E.O., Obasi U.E., Osu B.O., Oghogho C.P. (2021): Existence and Stability of Periodic Solution of Airy’s Equation with Elastic Coefficients. Nigerian Journal of Pure and Applied Sciences 34 (1): 3631-3640.
]Search in Google Scholar
[
Ezeilo J.O.C. (1960): On Existence of Periodic Solutions of a Certain Third Order Differential Equation. Pro Camb. Phi. Soc. 56: 381-387.
]Search in Google Scholar
[
Ezeilo J.O.C. (1974): Boundedness theorem for a Certain Third Order Differential Equations. Atti, Accad, Naz. Lincei, Rend Cl. Sci. Fix. Mat. Natur. 55: 194-209.
]Search in Google Scholar
[
Ezeilo J.O.C. (1975): Further Result for a System of Third Order Ordinary Differential Equations. Atti. Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Natur. 58: 143-153.
]Search in Google Scholar
[
Habets P., Metzen G. (1989): Existence of Periodic Solution of Duffing’s Equation. Journal of Differential Equations78: 1-32.
]Search in Google Scholar
[
Li Y., Li Y. (2014): Existence and Global Exponential Stability of Almost Periodic Solution for a Class of Delay Duffing Equation on Time Scale. Journal of Abstract and Applied Analysis, Hindawi Publishing Corporation, ID 857161.
]Search in Google Scholar
[
Lim Y.S., Kazda L.F. (1964): Boundedness of Solution for a Second Order Forced Oscillation With Non Linear Damping and Non Linear Resulting Force. Journal of Mathematical Analysis and Application 8: 423-444.
]Search in Google Scholar
[
Liu B., Zanolin F. (1998): Boundedness of Solution of Non Linear Differential Equations. Journal of Differential Equations 144: 66-98.
]Search in Google Scholar
[
Markus L. (1969): Lecture Notes in Differentiable Dynamics, Amer. Math. Soc., Providence R.I.
]Search in Google Scholar
[
Morris G. (1976): Bounds on Solution of Forced Conservative Oscillators. Bull. Austral. Math. Soc. 14: 71-93.
]Search in Google Scholar
[
Njoku F.I., Omari P. (2003): Stability properties of periodic solutions of a Duffing’s equation in the presence of a lower and upper solutions, Journal of Mathematics and Computer Application 135: 471-490.
]Search in Google Scholar
[
Osisiogu U.A., Eze E.O., Obasi U.E. (2016): Existence and Stability of Periodic Solution for a Class of Second order Nonlinear Differential Equations. Journal of the Nigerian Association of Mathematical Physics 36: 37-42.
]Search in Google Scholar
[
Oyesanya M.O. (2008): Duffing Oscillator as a model for predicting earthquake occurrence I, Journal of Nigerian Association of Mathematical Physics 12: 133-142.
]Search in Google Scholar
[
Pedro J.T. (2004): Existence and stability of periodic solutions of a Duffing’s Equation by using a new maximum principle, Mediterranean Journal of Mathematics 1: 470-486.
]Search in Google Scholar
[
Ressig R. (1972): Periodic Solution of Third Order Non-Linear Differential Equation. Ann. Mat. Pura Appl. 4 (92): 193-198.
]Search in Google Scholar
[
Ressig R. (1975): An Extension of Some Results Concerning the Generalized Lienard Equation, Ann. Mat. Pura Appl. 4 (105): 269-281.
]Search in Google Scholar
[
Ressig R., Sansone C., Conti R. (1974): Non-Linear Differential Equation of Higher Order Noordho International Publishing Leyden Reuter.
]Search in Google Scholar
[
Torres P. (2000): Existence and uniqueness of elliptic periodic solution of the Brillouin electron beam focusing system, Journal of Mathematics, Methods and Applied Sciences 23: 1139-1143.
]Search in Google Scholar
[
Torres P.J. (2003): Existence of one-signed periodic solution of some second order differential equations via a Krasnoselskii fixed point theorem, Journal of Differential Equations 190: 643-662.
]Search in Google Scholar
[
Voitovich M.V. (2011): Existence of Bounded Solution for a Class of Non Linear Fourth Order Equations. Differential Equations and Applications 3(2): 247-268.
]Search in Google Scholar
[
Zeeman E. (1976): Duffing Equation in Brain Modelling, Bull. IMA 12: 207-214.
]Search in Google Scholar