Dirichlet Boundary Value Problem for the Second Order Asymptotically Linear System
2016 ◽
Vol 2016
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pp. 1-12
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Keyword(s):
We consider the second order system x′′=f(x) with the Dirichlet boundary conditions x(0)=0=x(1), where the vector field f∈C1(Rn,Rn) is asymptotically linear and f(0)=0. We provide the existence and multiplicity results using the vector field rotation theory.
2013 ◽
2013 ◽
Vol 220
◽
pp. 792-801
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2021 ◽
Vol 14
(3)
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pp. 706-722
1997 ◽
Vol 125
(9)
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pp. 2599-2604
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2001 ◽
Vol 131
(5)
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pp. 1167-1182
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2011 ◽
Vol 16
(3)
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pp. 390-400
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