石轩荣
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
参考文献
[1] LI S H,LI Y T. Checkable Criteria for the M-Positive Definiteness of
Fourth-Order Partially Symmetric Tensors [J]. Bull Iranian Math Soc,2020,46(5): 1455-1463.
[2] WANG Q Y,YANG L. Positive Solutions for a Nonlinear Syste
m of Fourth-Order Ordinary Differential Equations [J/OL]. Electron J Differential Equations,(2020-05-19)[2021-05-20]. http://ejde.math.txstate.edu.
[3] HAN L,ZHANG G W,LI H Y. Positive Solutions of Four
th-Order Problem Subject to Nonlocal Boundary Conditions [J]. Bull Malays Math Sci Soc,2020,43(5): 3675-3691.
[4] BENHAM A,KOSMATOV N. Multiple Positive Solutions of a Fourth-Order Boundary Value Problem [J/OL].
Mediterr J Math,(2017-03-06)[2021-09-27]. https://doi.org/10.1007/s00009-017-0843-8.
[5] MA R Y,WANG J X,YAN D L. The Method of Lower and Upper Solutions for Fourth Order Equations with the Navier Condition [J/OL].
Bound Value Probl,(2017-10-19)[2021-05-20]. https://doi.org/10.1186/s13661-017-0887-5.
[6] CABADA A,ENGUIA R R. Positive Solutions of Four
th Order Problems with Clamped Beam Boundary Conditions [J]. Nonlinear Anal: Theory,Methods Appl,2011,74(10): 3112-3122.
[7] WEI Y F,SONG Q L,BAI Z B. Existence and Iterativ
e Method for Some Fourth Order Nonlinear Boundary Value Problems [J]. Appl Math Lett,2019,87: 101-109.
[8] BAI Z B,WANG H Y. On Positive Solutions of Some N
onlinear Fourth-Order Beam Equations [J]. J Math Anal Appl,2002,270(2): 357-368.
[9] YAO Q L. Positive Solutions for Eigenvalue Problem
s of Fourth-Order Elastic Beam Equations [J]. Appl Math Lett,2004,17(2): 237-243.
[10] YANG B. Positive Solutions for a Fourth Order Boundary Value Problem [J]. Electron J Qual Theory Differ Equ,2005(3): 1-17.
[11] ZHANG Y W,LI H X. Positive Solutions of a Second-Order Neumann Boun
dary Value Problem with a Parameter [J]. Bull Aust Math Soc,2012,86(2): 244-253.
[12] GRAEF J R,KONG L J,WANG H Y. Existence,Multiplicity,and Dependen
ce on a Parameter for a Periodic Boundary Value Problem [J]. J Differential Equations,2008,245(5): 1185-1197.
[13] JIANG D Q,LIU H Z. Existence of Positive Solutions to Second Order
Neumann Boundary Value Problems [J]. J Math Res Exposition,2000,20(3): 360-364.
(責任编辑: 赵立芹)