Non-degeneracy and uniqueness of periodic solutions for some superlinear beam equations
نویسندگان
چکیده
In this work we will use some Sobolev constants to explicitly characterize a class of potentials q(t) ∈ Lp(R/TZ) for which the periodic linear beam equation u(4) = q(t)u is non-degenerate. As an application, we will obtain the uniqueness of periodic solutions of a certain class of superlinear beam equations. © 2008 Elsevier Ltd. All rights reserved.
منابع مشابه
NON-DEGENERACY AND UNIQUENESS OF PERIODIC SOLUTIONS FOR 2n-ORDER DIFFERENTIAL EQUATIONS
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 22 شماره
صفحات -
تاریخ انتشار 2009