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Limit Point Classification of Second Order Linear Differential Equations
Author(s) -
Patula William T.,
Waltman Paul
Publication year - 1974
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-8.2.209
Subject(s) - mathematics , limit (mathematics) , order (exchange) , differential equation , mathematical analysis , point (geometry) , limit point , mathematical physics , combinatorics , pure mathematics , geometry , finance , economics
The paper contains theorems which give sufficient conditions for the equation ( r ( t ) y′ ( t ))′ + q ( t ) y ( t ) = 0 to be in the limit point case. The principal condition on q ( t ) involves q + (t)ε L p (0, ∞) where the allowable p is balanced by a condition on r ( t ).