摘要
In this article, by employing an oscillatory condition on the nonlinear term,a result is proved for the existence of connected component of solutions set of a nonlocal boundary value problem, which bifurcates from infinity and asymptotically oscillates over an interval of parameter values. An interesting and immediate consequence of such oscillation property of the connected component is the existence of infinitely many solutions of the nonlinear problem for all parameter values in that interval.
作者
徐西安
秦宝侠
王震
Xian XU;Baoxia QIN;Zhen WANG(Department of Mathematics,Jiangsu Normal University,Xuzhou 221116,China;School of Mathematics,Qilu Normal University,Jinan 250013,China)
基金
supported by the National Natural Science Foundation of China (11871250),Qing Lan Project
Key (large) projects of Shandong Institute of Finance in2019 (2019SDJR31)
the teaching reform project of Qilu Normal University (jg201710)
