Existence, uniqueness, boundedness and stability of periodic solutions of a certain second-order nonlinear differential equation with damping and resonance effects
Author:
Affiliation:
1. 1 Department of Mathematics , Michael Okpara University of Agriculture , Umudike, Umuahia , Nigeria
2. 2 Department of Mathematics , Enugu State University Science and Technology Enugu , Nigeria
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Medicine
Link
https://www.sciendo.com/pdf/10.2478/bile-2023-0008
Reference28 articles.
1. 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.
2. 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.
3. 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.
4. 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.
5. Ding T. (1986): Boundedness of Solutions of Duffing’s Equation. Journal of Differential Equation 61: 178-207.
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