椭圆型泛函微分系统特征值的Birkhoff-Kellogg型定理
Eigenvalues of elliptic functional differential systems via a Birkhoff--Kellogg type theorem
摘要:
最近的兴趣Kirchhoff型方程的动机,在这个简短的说明中,我们利用一个经典的,但非常强大的,工具的非线性泛函分析,以调查存在的正特征值的椭圆泛函微分方程系统。最后给出了一个例子来说明该理论。
英文摘要:
Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a classical, yet very powerful, tool of nonlinear functional analysis in order to investigate the existence of positive eigenvalues of systems of elliptic functional differential equations. An example is presented to illustrate the theory.
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