Positive Solutions of Fourth-Order Equations under Nonlocal Boundary Value Conditions of Sturm-Liouville Type  

作　　者：Chunlei SONG Wei CHEN Guowei ZHANG 

机构地区：[1]Department of Mathematics,Northeastern University,Liaoning 110819,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第1期91-100,共10页数学研究及应用（英文版）

基　　金：Supported by the National Training Program of Innovation and Entrepreneurship for Undergraduates(Grant No.S202210145149).

摘　　要：In this paper, we study the fourth-order problem with the first and second derivatives in nonlinearity under nonlocal boundary value conditions of Sturm-Liouville type involving Stieltjes integrals. Some inequality conditions on nonlinearity are presented that guarantee the existence of positive solutions to the problem by the theory of fixed point index on a special cone. Some examples are provided to support the main results under mixed boundary conditions containing multi-point with sign-changing coefficients and integral with sign-changing kernel.

关 键 词：positive solution fixed point index CONE 

分 类 号：O175.8[理学—数学]