Open AccessOn the boundedness of solutions of the equation $u''+(1+f(t))u=0$
Author(s) -
Renato Manfrin
Publication year - 2008
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2009.23.991
Subject(s) - order (exchange) , mathematics , class (philosophy) , differential equation , quadratic equation , function (biology) , pure mathematics , mathematical analysis , computer science , finance , geometry , economics , artificial intelligence , evolutionary biology , biology
Sufficient conditions on the function f are given which ensure the boundedness of the solutions of the second order linear differential equation u′′ +(1+f(t))u = 0 as t ! +1. To do this, a suitable class of quadratic forms is introduced
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom