Open AccessForced singular oscillators and the method of lower and upper solutions
Author(s) -
Denis Bonheure,
Colette De Coster
Publication year - 2003
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.2003.041
Subject(s) - mathematics , singularity , order (exchange) , type (biology) , upper and lower bounds , mathematical analysis , differential equation , pure mathematics , mathematical physics , ecology , finance , economics , biology
In this note, we study the existence of positiveperiodic solutions of the second order differential equation $$u''+g(u)u'+f(t,u)=h(t) $$ where $f(t,\cdot)$ has a singularity ofrepulsive type at the origin. We use the method of lower and uppersolutions.
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