Periodic positive solutions of superlinear delay equations via topological degree
2021 ◽
Vol 379
(2191)
◽
pp. 20190373
Keyword(s):
We extend to delay equations recent results obtained by G. Feltrin and F. Zanolin for second-order ordinary equations with a superlinear term. We prove the existence of positive periodic solutions for nonlinear delay equations − u ″( t ) = a ( t ) g ( u ( t ), u ( t − τ )). We assume superlinear growth for g and sign alternance for a . The approach is topological and based on Mawhin’s coincidence degree. This article is part of the theme issue ‘Topological degree and fixed point theories in differential and difference equations’.
2021 ◽
Vol 379
(2191)
◽
pp. 20190378
2004 ◽
Vol 59
(7)
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pp. 1013-1031
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pp. 1-22
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2006 ◽
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