Time periodic solutions of one-dimensional forced Kirchhoff equations with x-dependent coefficients under spatial periodic conditions

Author:

Ma Mu,Ji Shuguan

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Reference41 articles.

1. Arosio, A.: Averaged evolution equations. The Kirchhoff string and its treatment in scales of Banach spaces. In: Tutschke, W., Mshimba, A.S. (eds.) Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations (Trieste, 1993), pp. 220–254. World Sci. Publ., River Edge (1995)

2. Arosio, A., Spagnolo, S.: Global solutions to the Cauchy problem for a nonlinear hyperbolic equation. In: Brézis, H., Lions, J.L. (eds.) Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, Vol. VI (Paris, 1982/1983), Res. Notes in Math., 109, pp. 1–26. Pitman, Boston (1984)

3. Arosio, A., Panizzi, S.: On the well-posedness of the Kirchhoff string. Trans. Am. Math. Soc. 348, 305–330 (1996)

4. Baldi, P.: Periodic solutions of forced Kirchhoff equations. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 8, 117–141 (2009)

5. Baldi, P., Berti, M.: Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 17, 257–277 (2006)

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