Abstract and Applied Analysis

Periodic Solutions of Duffing Equation with an Asymmetric Nonlinearity and a Deviating Argument

Zaihong Wang, Jin Li, and Tiantian Ma

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Abstract

We study the existence of periodic solutions of the second-order differential equation x ′′ + a x + - b x - + g ( x ( t - τ ) ) = p ( t ) , where a , b are two constants satisfying 1 / a + 1 / b = 2 / n , n N , τ is a constant satisfying 0 τ < 2 π , g , p : R R are continuous, and p is 2 π -periodic. When the limits lim x ± g ( x ) = g ( ± ) exist and are finite, we give some sufficient conditions for the existence of 2 π -periodic solutions of the given equation.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 507854, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512155

Digital Object Identifier
doi:10.1155/2013/507854

Mathematical Reviews number (MathSciNet)
MR3132543

Zentralblatt MATH identifier
1302.34104

Citation

Wang, Zaihong; Li, Jin; Ma, Tiantian. Periodic Solutions of Duffing Equation with an Asymmetric Nonlinearity and a Deviating Argument. Abstr. Appl. Anal. 2013 (2013), Article ID 507854, 8 pages. doi:10.1155/2013/507854. https://projecteuclid.org/euclid.aaa/1393512155


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References

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