Existence of heteroclinic solution for a class of non-autonomous second-order equation
نویسندگان
چکیده
منابع مشابه
Heteroclinic Solutions to an Asymptotically Autonomous Second-Order Equation
We study the differential equation ẍ(t) = a(t)V ′(x(t)), where V is a double-well potential with minima at x = ±1 and a(t) → l > 0 as |t| → ∞. It is proven that under certain additional assumptions on a, there exists a heteroclinic solution x to the differential equation with x(t)→ −1 as t→ −∞ and x(t) → 1 as t → ∞. The assumptions allow l − a(t) to change sign for arbitrarily large values of |...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2015
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-015-0319-0