【摘要】 在障碍带条件下,利用Leray-Schauder原理的推论研究非线性常微分方程四阶三点边值问题x(4)(t)=f(t,x(t),x′(t),x″(t),x′″(t)),t∈[0,1]x(0)=x′(0)=0x″(ξ)=x′″(1)=0,ξ∈[0,1]解的存在性,其中f∶[0,1]×R4→R连续。更多还原

【Abstract】 The existence of solutions for the nonlinear fourth-order three-point boundary value problemx(4)(t)=f(t,x(t),x′(t),x″(t),x′″(t)),t∈\x(0)=x′(0)=0x″(ξ)=x′″(1)=0,ξ∈\is studied in the paper under the barrier strips conditions by using a corollary of the Leray-Schauder theory,where f∶\×R4→Ris continuous.更多还原