Linking Method for Periodic Non-autonomous Fourth-order Differential Equations with Superquadratic Potentials
نویسندگان
چکیده
By means of the Schechter’s Linking method, we study the existence of 2T -periodic solutions of the non-autonomous fourth-order ordinary differential equation u′′′′ −Au′′ −Bu− Vu(t, u) = 0 where A > 0, B > 0, V (t, u) ∈ C1(R × R,R) is 2T -periodic in t and satisfies either 0 < θV (t, u) ≤ uVu(t, u) with θ > 2, or uVu(t, u) − 2V (t, u) ≥ d3|u| with r ≥ 1.
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