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Strong limit-point classification of singular Hamiltonian expressions
Author(s):
Jiangang
Qi;
Shaozhu
Chen
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1667-1674.
MSC (2000):
Primary 34B20;
Secondary 47B25
Posted:
January 7, 2004
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Additional information
Abstract:
Strong limit-point criteria for singular Hamiltonian differential expressions with complex coefficients are obtained. The main results are extensions of the previous results due to Everitt, Giertz, and Weidmann for scalar differential expressions.
References:
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 classification of linear ordinary differential expressions of order  , Proc. London Math. Soc. (3) 29 (1974), 351-367. MR 53:13708 - 9.
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- 13.
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 theory for singular Hamiltonian systems with one singular point, SIAM J. Math. Anal. 20 (1989), 664-700. MR 91c:34036 - 15.
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Additional Information:
Jiangang
Qi
Affiliation:
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, People's Republic of China
Email:
qwljg01@sohu.com
Shaozhu
Chen
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, People's Republic of China
Email:
szchen@sdu.edu.cn
DOI:
10.1090/S0002-9939-04-07037-6
PII:
S 0002-9939(04)07037-6
Keywords:
Hamiltonian system,
deficiency index,
strong limit-point case
Received by editor(s):
January 30, 2002
Received by editor(s) in revised form:
September 6, 2002 and September 15, 2002
Posted:
January 7, 2004
Additional Notes:
This project was supported by the NSF of China under Grant 10071043
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2004,
American Mathematical Society
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