We discuss the existence of solution for the fully fourth-order boundary value problemu(4)=f(t,u,u′,u′′,u′′′),0≤t≤1,u(0)=u(1)=u′′(0)=u′′(1)=0. A growth condition onfguaranteeing the existence of solution is presented. The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem.
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机译：我们讨论完全四阶边值问题的解的存在性u（4）= f（t，u，u′，u′′，u′′′），0≤t≤1，u（0）= u （1）= u''（0）= u''（1）= 0。提出了保证解存在的增长条件。讨论基于傅立叶分析方法和Leray-Schauder不动点定理。
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