广义静态梁方程非负解的存在性
엄의정태량방정비부해적존재성
On the existence of nonegative solutions of nonlinear elastic beam equations
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2011年 4期 450-458 ,共9页

    宋灵宇%张雅荣

    송령우%장아영

    边值问题%静态梁方程%Arzela-Ascoli定理 邊值問題%靜態樑方程%Arzela-Ascoli定理
    변치문제%정태량방정%Arzela-Ascoli정리
    boundary value problem%elastic beam equation%Arzela-Ascoli theorem
    运用Leray—Schauder拓扑理论，证明了广义静态梁方程和静态梁方程非负解的存在性，仅要求非线性项f在原点的某个邻域满足一定的符号条件，突破了以往对非线性项f的增长性限制．所获结果对工程设计具有重要的理论意义和实用价值．
    운용Leray—Schauder탁복이론，증명료엄의정태량방정화정태량방정비부해적존재성，부요구비선성항f재원점적모개린역만족일정적부호조건，돌파료이왕대비선성항f적증장성한제．소획결과대공정설계구유중요적이론의의화실용개치．
    In this paper, we proved the existence of nonegative solutions for nonlinear elastic beam equations by applying Leray-Schauder theory. Here only the condition is required that nonlinear function f satisfies certain sign conditions for a neighborhood of origin of coordinates, which breaks through previous growth restrictions on f.
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