Inverse spectral problems for nonlinear Sturm-Liouville problems
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This paper concerns the nonlinear Sturm-Liouville problem
-u″(t) + ƒ(u(t)) = λu(t), u(t) > 0, t ∈ I :=(0, 1), u(0) = u(1) = 0,
where λ is a positive parameter. We try to determine the nonlinear term ƒ(u) by means of the global behavior of the bifurcation branch of the positive solutions in ℝ+ x L2(I).
CitationShibata, T. (2007). Inverse spectral problems for nonlinear Sturm-Liouville problems. Electronic Journal of Differential Equations, 2007(74), pp. 1-10.
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