三阶奇异边值问题对称正解的最优存在性
삼계기이변치문제대칭정해적최우존재성
Optimal Existence Criteria for Symmetric Positive Solutions of Third-order Singular Boundary Value Problems
  • 万方数据
    工程数学学报 공정수학학보
    CHINESE JOURNAL OF ENGINEERING MATHEMATICS
    2010年 4期 747-752 ,共6页

    孙彦%曾六川

    손언%증륙천

    对称正解%存在性%边值问题 對稱正解%存在性%邊值問題
    대칭정해%존재성%변치문제
    symmetric positive solution%existence%boundary value problem
    本文利用Leggett-Williams 不动点定理,通过构造特殊的锥,得到了三阶奇异边值问题三个对称正解最优存在性的新结果,最后,通过具体的例子说明了我们所得结果的有效性.
    본문이용Leggett-Williams 불동점정리,통과구조특수적추,득도료삼계기이변치문제삼개대칭정해최우존재성적신결과,최후,통과구체적례자설명료아문소득결과적유효성.
    In this paper, based on the Leggett-Williams fixed point theorem together with construct-ing a special cone, some new optimal existence results of triple symmetric positive solutions of third-order singular boundary value problems are obtained. Finally, an example demon-strates the validity of the main results.
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