具有连续系数的竞争扩散方程组的周期解
구유련속계수적경쟁확산방정조적주기해
Periodic Solution for a Competition Diffusion System With Continuous Coefficients
  • 万方数据
    应用数学 응용수학
    MATHEMATICA APPLICATA
    2010年 4期 855-860 ,共6页

    李曦%汤燕斌

    리희%탕연빈

    竞争扩散方程组%周期解%单调迭代方法%渐近行为 競爭擴散方程組%週期解%單調迭代方法%漸近行為
    경쟁확산방정조%주기해%단조질대방법%점근행위
    Competition diffusion-system%Periodic solutions%Monotone iterative scheme%Asymptotic behavior
    本文讨论了一类变系数的竞争扩散方程组,其中系数关于空间和时间变元连续,而关于时间变元是周期的.通过构造上下解,运用单调迭代方法证明了带Neumann边界条件的竞争扩散方程组正周期解的存在性和唯一性.
    본문토론료일류변계수적경쟁확산방정조,기중계수관우공간화시간변원련속,이관우시간변원시주기적.통과구조상하해,운용단조질대방법증명료대Neumann변계조건적경쟁확산방정조정주기해적존재성화유일성.
    In this paper,we consider an N-species competition diffusion system in which the coefficients are positive continuous in x,t and periodic in t.Using a monotone iterative scheme,we prove the existence and uniqueness of positive periodic solutions to the periodic boundary value problem of the competition diffusion system with the Neumann boundary condition.
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