靶向法在一类二阶三点积分边值问题中的应用  

An Application of Shooting Method in a Class of Second-order Three-point Integral Boundary-point Problems

作　　者：王会兰[1] 刘邵容[1] 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2012年第3期79-81,共3页Journal of University of South China：Science and Technology

摘　　要：运用靶向法研究了一类非线性二阶常微分方程三点积分边值问题正解的存在性.通过构造一个二次函数及一个正弦函数做为目标函数,并结合使用积分中值定理及Sturm比较定理,得到了上述边值问题存在正解的充分条件.Using the method of shooting, the existence of positive solutions for a class of second-order three-point integral boundary-point problem is studied. By constructing a quadratic function and a sine function as the objective functions and combining with the In- tegral Mean Value Theorem and Sturm Comparison Theorem, we obtained the sufficient conditions for the existence of positive solutions to the boundary-value problem.

关 键 词：常微分方程 积分边值问题 解的存在性 靶向法 

分 类 号：O175[理学—数学]