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Global uniqueness of homoclinic orbits for a class of fourth order equations
Authors:C. J. Amick  J. F. Toland
Affiliation:1. Dept of Mathematics, University of Chicago, 60637, Chicago, IL, USA
2. School of Mathematical Sciences, University of Bath, BA2 7AY, Claverton Down, Bath, UK
Abstract:In this paper we show the global existence and uniqueness of certain orbits homoclinic to the zero stationary solution of the fourth order equation

$$alpha xprime prime prime prime  + beta xprime prime  + yx + k(x) = 0,x > 0,$$
Keywords:
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