Open AccessOn Nonoscillation of Advanced Differential Equations with Several Terms
Author(s) -
Leonid Berezansky,
Elena Braverman
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/637142
Subject(s) - mathematics , differential equation , mathematical analysis , differential (mechanical device) , thermodynamics , physics
Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients. Results on asymptotics of nonoscillatory solutions are also presented
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