应用数学2022，Vol.35Issue(2)：453-462,10.
非局部边值条件下一类四阶问题的正解
Positive Solutions for a Class of Fourth-Order Problem Under Nonlocal Boundary Value Conditions
摘要
Abstract
In this article,we study a class of fourth-order problem with the second derivative in nonlinearity under nonlocal boundary value conditions.Some inequality con-ditions involving spectral radius 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.Two examples are provided to support the main results under mixed boundary conditions including multi-point with sign-changing coefficients and integral with sign-changing kernel.关键词
正解/不动点指数/锥Key words
Positive solution/Fixed point index/Cone分类
数理科学引用本文复制引用
朱颖,马烨楠,张国伟..非局部边值条件下一类四阶问题的正解[J].应用数学,2022,35(2):453-462,10.基金项目
Supported by the Foundamental Research Funds for the Central Universi-ties(N2124001) （N2124001）
