非线性四阶周期边值问题的最优正解

该文使用锥不动点定理研究了四阶周期边值问题u⁽⁴)-m⁴u+F(t, u(τ(t)))=0, 0 < t < 2π, u⁽ⁱ⁾(0)=u⁽ⁱ⁾(2π),~ i=0,1, 2, 3, 这里 F: 0,2π ]×R⁺→R⁺ 和τ: 0, 2π]→0, 2π] 是连续的, 0-7.

Optimal Positive Solutions of a Nonlinear Fourth Order Periodic Boundary Value Problem

The fourth order periodic boundary value problem u⁽⁴⁾-m⁴u+F(t, u(τ(t)))=0, 0(i)(0)=u⁽ⁱ⁾(2π), i=0,1, 2, 3,  is studied by using the fixed point theorem in cones, where F:0, 2π]×R⁺→ R⁺ and τ: 0, 2τi]→0, 2π] are continuous and  0-7.