Abstract In this article, by using the bounded quasi-linear projection generalized inverse, we prove the transcritical and pitchfork bifurcation theorem for multiple eigenvalues, which is a generalized result of the famous transcritical and pitchfork bifurcation theorem for simple eigenvalue.

中文翻译：

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多重跨临界和干草叉分岔定理的 BQL 广义逆条件

摘要 本文利用有界拟线性投影广义逆证明了多特征值的跨临界和干草叉分岔定理，这是著名的单特征值跨临界和干草叉分岔定理的推广结果。