一阶微分方程终值问题拟解的存在性
일계미분방정종치문제의해적존재성
The Existence of Quasi-Solutions to Terminal Value Problem of One-Order Differential Equation
  • 万方数据
    海军航空工程学院学报 해군항공공정학원학보
    JOURNAL OF NAVAL AERONAUTICAL ENGINEERING INSTITUTE
    2013年 4期 457-460 ,共4页

    刘孝磊%盖明久%张强

    류효뢰%개명구%장강

    终值问题%拟上下解%单调迭代 終值問題%擬上下解%單調迭代
    종치문제%의상하해%단조질대
    terminal value problem%quasi-upper and lower solutions%monotone iteration
    利用拟上下解方法，研究了一阶微分方程终值问题u′(t)=f (t,u(t))，u(T)=xT拟解的存在性，并通过构造单调迭代序列得到该终值问题的最大最小拟解。
    이용의상하해방법，연구료일계미분방정종치문제u′(t)=f (t,u(t))，u(T)=xT의해적존재성，병통과구조단조질대서렬득도해종치문제적최대최소의해。
    By using the method of quasi-upper and lower solutions, the existence of quasi-solutions to terminal value problem of one-order differential equation u′(t)=f (t,u(t)),u(T)=xT was studied. The maximum-minimum quasi-solution-pair was obtained by constructing two monotone iteration sequences.
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