一类两端滑动支撑弹性梁方程的可解性  

Solvability of a Class of Elastic Beam Equations with Sliding Supports at Both Ends

作　　者：石轩荣 SHI Xuanrong(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2023年第2期228-234,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12061064).

摘　　要：用锥拉伸与压缩不动点定理,研究两端滑动支撑弹性梁问题-u″″(t)+ρ4u(t)=λf(t,u(t)),t∈(0,1),u′(0)=u′(1)=u(0)=u(1)=0正解的存在性、不存在性及多解性,其中ρ∈0,π2为常数,λ为正参数,f∈C([0,1]×[0,+∞),[0,+∞)).By using fixed point theorem of cone expansion-compression,the author studies the existence,nonexistence and multiplicity of positive solutions for the elastic beam problem with sliding supports at both ends-u″″(t)+ρ4u(t)=λf(t,u(t)),t∈(0,1),u′(0)=u′(1)=u(0)=u(1)=0,whereρ∈0,π2 is a constant,λis a positive parameter,f∈C([0,1]×[0,+∞),[0,+∞)).

关 键 词：存在性 多解 正解 锥 

分 类 号：O175.8[理学—数学]