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Perturbative Oscillation Criteria and Hardy‐Type Ineqalities
Author(s) -
Gesztesy F.,
Ünal M.
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981890108
Subject(s) - mathematics , oscillation (cell signaling) , generalization , type (biology) , mathematical analysis , pure mathematics , combinatorics , chemistry , ecology , biochemistry , biology
We prove a natural generalization of Kneser's oscillation and Hardy's inequality for Sturm‐Liouville differential expressions. In Particular, assuming − d/dxp 0 (x)+q 0 (x), x ∈ a, b), −∞≦a

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