Abstract
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.
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This paper is supported by the National Natural Science Foundation of China (11871250), Qing Lan Project. Key (large) projects of Shandong Institute of Finance in 2019 (2019SDJR31), and the teaching reform project of Qilu Normal University (jg201710).
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Xu, X., Qin, B. & Wang, Z. Asymptotic Behavior of Solution Branches of Nonlocal Boundary Value Problems. Acta Math Sci 40, 341–354 (2020). https://doi.org/10.1007/s10473-020-0203-9
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DOI: https://doi.org/10.1007/s10473-020-0203-9