摘要
研究了一四阶半正梁方程边值问题正解的存在性.首先利用Leray-Schauder型非线性抉择定理获得了该半正梁的方程的第一个正解的存在性的充分条件,然后利用Krasnosel’skii不动点定理获得了该半正梁的方程的第二个正解的存在性的充分条件,最后该半正梁的方程多个正解的存在性的充分条件被建立.并举例说明主要结论.
The paper investigates the existence of positive solutions for boundary value problem of a fourth-order nonlinear semipositone beam equation. First, Using nonlinear alternative of Leray-Sehauder type, sufficient condition for the first positive solutions of the beam equation is established; next, by Krasnoselskiis fixed point theorem, sufficient condition for the second positive solutions of the beam equation is established; the last, sufficient condition for multiple positive solutions of the semipositone beam equation are established. An example is given to illustrate the main results.
出处
《哈尔滨理工大学学报》
CAS
2012年第4期110-113,118,共5页
Journal of Harbin University of Science and Technology
基金
黑龙江省普通高等学校青年学术骨干项目(1252G035)
黑龙江自然科学基金(A201012)
关键词
边值问题
半正的梁的方程
正解
不动点定理
boundary value problem
semipositone beam equation
positive solution
singular
fixed point theorem
