【摘要】 用Fourier分析法与Leray-Schauder不动点定理，讨论四阶周期边值问题■解的存在性与唯一性，在非线性项f(x,u,v)满足适当的不等式条件下，获得了该问题解的存在性与唯一性，其中α,β>0,f:[0,2π]×?~2→?连续.更多还原

【Abstract】 By using Fourier analysis and Leray-Schauder fixed point theorem, we discuss the existence and uniqueness of solutions of the fourth-order periodic boundary value problem■where α,β>0, f: [0,2π]×?~2→? is continuous. The existence and uniqueness of the solution of the problem are obtained under the condition that the nonlinear term f(x,u,v) satisfies an appropriate inequality.更多还原