Inverse spectral problems for nonlinear Sturm-Liouville problems
Date
2007-05-15
Authors
Shibata, Tetsutaro
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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).
Description
Keywords
Inverse spectral problem, L2-bifurcation diagram, Logistic equations
Citation
Shibata, T. (2007). Inverse spectral problems for nonlinear Sturm-Liouville problems. Electronic Journal of Differential Equations, 2007(74), pp. 1-10.
Rights
Attribution 4.0 International