Shibata, Tetsutaro2021-08-112021-08-112007-05-15Shibata, T. (2007). Inverse spectral problems for nonlinear Sturm-Liouville problems. <i>Electronic Journal of Differential Equations, 2007</i>(74), pp. 1-10.1072-6691https://hdl.handle.net/10877/14270This 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).Text10 pages1 file (.pdf)enAttribution 4.0 InternationalInverse spectral problemL2-bifurcation diagramLogistic equationsInverse spectral problems for nonlinear Sturm-Liouville problemsArticle