On the Strong and Weak Limit-Point Classification of Second-Order Differential Expressions†

1974 ◽  
Vol s3-29 (1) ◽  
pp. 142-158 ◽  
Author(s):  
W. N. Everitt ◽  
M. Giertz ◽  
J. B. McLeod
Keyword(s):  
Limit Point ◽  
Weak Limit ◽  
Second Order ◽  
Weak Limit Point

scholarly journals Limit Circle/Limit Point Criteria for Second-Order Sublinear Differential Equations with Damping Term

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Jing Shao ◽  
Wei Song
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Limit Point ◽  
Second Order ◽  
Damping Term ◽  
Limit Circle ◽  
New Criteria ◽  
Point Type ◽  
Circle Limit

The purpose of the present paper is to establish some new criteria for the classification of the sublinear differential equation as of the nonlinear limit circle type or of the nonlinear limit point type. The criteria presented here generalize some known results in the literature.

scholarly journals Multiplicative properties of positive maps

2007 ◽  
Vol 100 (1) ◽  
pp. 184 ◽  
Author(s):  
Erling Størmer
Keyword(s):  
Limit Point ◽  
Von Neumann Algebra ◽  
Weak Limit ◽  
Von Neumann ◽  
Normal Map ◽  
Positive Maps ◽  
Weak Limit Point

Let $\phi$ be a positive unital normal map of a von Neumann algebra $M$ into itself. It is shown that with some faithfulness assumptions on $\phi$ there exists a largest Jordan subalgebra $C_{\phi}$ of $M$ such that the restriction of $\phi$ to $C_{\phi}$ is a Jordan automorphism and each weak limit point of $(\phi^n (a))$ for $a\in M$ belongs to $C_{\phi}$.

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