On a multiplicity result of J. R. Ward for superlinear planar systems
Keywords
Superlinear systems, topologically distinct solutions, continuation theoremAbstract
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.Downloads
Published
2006-06-01
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1.
BEREANU, Cristian. On a multiplicity result of J. R. Ward for superlinear planar systems. Topological Methods in Nonlinear Analysis. Online. 1 June 2006. Vol. 27, no. 2, pp. 289 - 298. [Accessed 13 February 2025].
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