Global behavior of the branch of positive solutions to a logistic equation of population dynamics
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Publication:3508081
DOI10.1090/S0002-9939-08-09311-8zbMath1148.34018MaRDI QIDQ3508081
Publication date: 27 June 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Related Items (7)
S-shaped bifurcation curves for nonlinear two-parameter problems ⋮ Asymptotic behavior of bifurcation curve for Sine-Gordon-type differential equation ⋮ On spectral asymptotics and bifurcation for carrier equations with odd superlinear term ⋮ ON SPECTRAL ASYMPTOTICS AND BIFURCATION FOR SOME ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE WITH ODD SUPERLINEAR TERM ⋮ \(L^q\)-inverse spectral problems for semilinear Sturm-Liouville problems ⋮ Inverse bifurcation problems for diffusive logistic equation of population dynamics ⋮ Local structure of bifurcation curves for nonlinear Sturm-Liouville problems
Cites Work
- \(L^q\) spectral asymptotics for nonlinear Sturm-Louiville problems
- Remarks on bifurcation for elliptic operators with odd nonlinearity
- Le nombre de solutions de certains problèmes semi-linéaires elliptiques
- Uniqueness of global positive solution branches of nonlinear elliptic problems
- Precise spectral asymptotics for nonlinear Sturm-Liouville problems
- On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term
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