Stieltjes积分边界条件下一类二阶问题的正解  

Positive Solution for a Class of Second-Order Problem Under Stieltjes Integral Boundary Condition

作　　者：吉蕾[1] JI Lei(College of Mathematics,Jinzhong University,Jinzhong 030619,China)

机构地区：[1]晋中学院数学学院,山西晋中030619

出　　处：《数学的实践与认识》2020年第17期239-246,共8页Mathematics in Practice and Theory

摘　　要：利用不动点指数和线性算子谱理论,在非线性项f(t,x1,x2)满足超线性或次线性增长的条件下,讨论了一类Stieltjes积分边界条件下非线性项含有导数的二阶问题正解的存在性,并给出相应的例子.Under the conditions of the nonlinearity has super linear or sub linear growth,by the theories of fixed point index and the spectrum of linear operators,the existence of positive solution for a class of second-order problem with dependence on derivative in nonlinearity under Stieltjes integral boundary condition is considered in this paper.Meanwhile the corresponding example is given.

关 键 词：正解 不动点指数 锥 谱半径 

分 类 号：O175.8[理学—数学]