On a multiplicity result of J. R. Ward for superlinear planar systems
(2006) Topological Methods in Nonlinear Analysis — Vol. 27, n° 2, p. 289-298 (2006)
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- Abstract
- The purpose of this paper is to prove, under some assumptions on g, that the boundary value problem u' = -g(t, u, v)v, v' = g(t, u, v)u, u(0) = 0 = u(pi), 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.
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Bereanu, C. (2006). On a multiplicity result of J. R. Ward for superlinear planar systems. Topological Methods in Nonlinear Analysis, 27(2), 289-298. https://hdl.handle.net/2078.5/79678 (Original work published 2006)