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.

中文翻译：

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非局部边值问题解分支的渐近行为

在本文中，通过对非线性项采用振荡条件，证明了非局部边值问题的解集的连通分量的存在性，该问题从无穷远分叉并在参数值的区间上渐近振荡。连接分量的这种振荡特性的一个有趣且直接的结果是，对于该区间内的所有参数值，非线性问题存在无限多个解。