摘要
In this paper, we consider the following fourth order ordinary differential equation x(4)(t) = f(t,x(t),x (t),x (t),x (t)), t ∈ (0,1) (E) with the four-point boundary value conditions: x(0) = x(1) = 0, αx (ξ1) - βx (ξ1) = 0, γx (ξ2) + δx (ξ2) = 0, (B) where 0 < ξ1 < ξ2 < 1. At the resonance condition αδ + βγ + αγ(ξ2 - ξ1) = 0, an existence result is given by using the coincidence degree theory. We also give an example to demonstrate the result.
In this paper, we consider the following fourth order ordinary differential equation x(4)(t) = f(t,x(t),x (t),x (t),x (t)), t ∈ (0,1) (E) with the four-point boundary value conditions: x(0) = x(1) = 0, αx (ξ1) - βx (ξ1) = 0, γx (ξ2) + δx (ξ2) = 0, (B) where 0 < ξ1 < ξ2 < 1. At the resonance condition αδ + βγ + αγ(ξ2 - ξ1) = 0, an existence result is given by using the coincidence degree theory. We also give an example to demonstrate the result.
基金
the Master’s Research Fund of Suzhou University (No.2008yss19)
