Keywords
- Periodic Solution
- Global Existence
- Maximal Monotone
- Nonlinear Wave Equation
- Independent Initial Condition
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References
H. Brezis: Operateurs Maximaux Monotones, North Holland, Amsterdam, 1973
S.C. Chikwendu and J. Kevorkian: A perturbation method for hyperbolic equations with small nonlinearities, SIAM J.Appl.Math. 22 (1972), 235–258
A.D.Cooke, C.J.Myerscough and M.D.Rowbottom: The growth of full span galloping oscillations, Laboratory Note RD/L/N51/72, Central Electricity Research Laboratories, Leatherhead, Surrey, England
J.P. Fink, W.S. Hall and A.R. Hausrath: A convergent two-time method for periodic differential equations, J.Differential Equations 15 (1974), 459–498
J.P. Fink, A.R. Hausrath and W.S. Hall: Discontinuous periodic solutions for an autonomous nonlinear wave equation, Proc. Royal Irish Academy 75 A 16 (1975), 195–226
W.S.Hall: Two timing for abstract differential equations, Lecture Notes in Mathematics 415, Ordinary and Partial Differential Equations, Springer, 1974, 368–372
W.S.Hall: The Rayleigh wave equation — an analysis, J.Nonlinear Anal., Tech.Meth.Appl., to appear
J. Kurzweil: Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter, Czech. Math.J. 16 (91), (1966), 380–423 and 463–492
J. Kurzweil: Van der Pol perturbations of the equation for a vibrating string, Czech.Math.J. 17 (2), (1967), 588–608
M. Štědrý and O. Vejvoda: Periodic solutions to weakly nonlinear autonomous wave equations, Czech:Math.J. 25 (100), (1975), 536–554
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© 1979 Spring-Verlag
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Hall, W.S. (1979). The Rayleigh and Van der Pol wave equations, some generalizations. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067265
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DOI: https://doi.org/10.1007/BFb0067265
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