| Title | Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case |
| Publication Type | Journal Article |
| Year of Publication | 2016 |
| Authors | Boscaggin, A, Feltrin, G, Zanolin, F |
| Journal | Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), 449–474. |
| Abstract | We study the periodic and Neumann boundary value problems associated with the second order nonlinear differential equation u''+cu'+λa(t)g(u)=0, where g:[0,+∞[→[0,+∞[ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when ∫a(t)dt 0 is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations. |
| URL | http://urania.sissa.it/xmlui/handle/1963/35262 |
| DOI | 10.1017/S0308210515000621 |
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