On a multiplicity result of J. R. Ward for superlinear planar systems
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Superlinear systems, topologically distinct solutions, continuation theoremAbstrakt
The purpose of this paper is to prove, under some assumptions on $g$, that the boundary value problem \begin{gather*} u'= -g(t, u, v)v, \quad v'= g(t, u, v)u, \\ u(0)=0=u(\pi), \end{gather*} has infinitely many solutions. To prove our first main result we use a theorem of J. R. Ward and to prove the second one we use Capietto-Mawhin-Zanolin continuation theorem.Pobrania
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2006-06-01
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BEREANU, Cristian. On a multiplicity result of J. R. Ward for superlinear planar systems. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2006, T. 27, nr 2, s. 289–298. [udostępniono 22.7.2024].
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