A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem
A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem
摘要
In this paper, the well known implicit function theorem was applied to study existence and uniqueness of periodic solution of Duffing-type equation. Un-der appropriate conditions around the origin, a unique periodic solution was obtained.
In this paper, the well known implicit function theorem was applied to study existence and uniqueness of periodic solution of Duffing-type equation. Un-der appropriate conditions around the origin, a unique periodic solution was obtained.
二级参考文献13
-
1Banas J, Goebel K. Measures of Noncompactness in Banach Spaces. New York: Marcel Dekker, 1980.
-
2Banas J, Leeko M. Fixed points of the product of operators in Banach algebra. Panamer Math J, 2002, 12:101- 109.
-
3Banas J, Rzepka B. On existence and asymptotic stability of solutions of a nonlinear integral equation. J Math Anal Appl, 2003, 284:165 -173.
-
4Banas J, Sadarangani K. Solutions of some functional integral equations in Banach algebra. Math Comput Modelling, 2003, 38:245-250.
-
5Chandrasekhar S. Radiative Transfer. London: Oxford Univ Press, 1950.
-
6Corduneanu C. Integral Equations and Applications. New York: Cambridge University Press, 1990.
-
7Deimling K. Nonlinear Functional Analysis. Springer-Verlag, 1985.
-
8Dhage B C. On a-condensing mappings in Banah algebras. The Math Student, 1994, 63:146-152.
-
9Hu S, Khavanin M, Zhuang W. Integral equations arising in the kinetic theory of gases. Appl Anal, 1989 34:261- 266.
-
10Kelly C T. Approximation of solutions of some quadratic integral equations in transport theory. J Integral Eq, 1982, 4:221-237.
