On s-shaped bifurcation curves
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Publication:4305577
DOI10.1016/0362-546X(94)90183-XzbMath0803.34013OpenAlexW2007028046MaRDI QIDQ4305577
Publication date: 3 January 1995
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)90183-x
Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23)
Related Items (27)
A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory ⋮ A global bifurcation theorem for a positone multiparameter problem and its application ⋮ Stability and instability of solutions of semilinear problems ⋮ On the classification and evolution of bifurcation curves for a one-dimensional prescribed curvature problem with nonlinearity \(\exp(\frac{a u}{a + u})\) ⋮ Proof of a conjecture for the one-dimensional perturbed Gelfand problem from combustion theory ⋮ Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods ⋮ Exact multiplicity of solutions and \(S\)-shaped bifurcation curve for a class of semilinear elliptic equations ⋮ Bifurcation of an equation from catalysis theory ⋮ Existence of a double S-shaped bifurcation curve with six positive solutions for a combustion problem ⋮ The bifurcation curves of a category of Dirichlet boundary value problems ⋮ Uniqueness of nonzero positive solutions of Laplacian elliptic equations arising in combustion theory ⋮ Morse index and symmetry-breaking for positive solutions of one-dimensional Hénon type equations ⋮ A double \(S\)-shaped bifurcation curve for a reaction-diffusion model with nonlinear boundary conditions ⋮ Persistence and bifurcation of degenerate solutions ⋮ S-shaped bifurcation curves for a combustion problem with general Arrhenius reaction-rate laws ⋮ \(S\)-shaped bifurcation curve for a nonlocal boundary value problem ⋮ Multiple positive solutions for elliptic boundary value problems ⋮ Exact multiplicity of solutions and S-shaped bifurcation curves for the \(p\)-Laplacian perturbed Gelfand problem in one space variable ⋮ A theorem on S-shaped bifurcation curve for a positone problem with convex-concave nonlinearity and its applications to the perturbed Gelfand problem ⋮ Curves of positive solutions of boundary value problems on time-scales ⋮ Proof of a conjecture for the perturbed Gelfand equation from combustion theory ⋮ Classification and evolution of bifurcation curves for a one-dimensional Dirichlet-Neumann problem with a specific cubic nonlinearity ⋮ Non-singular solutions of two-point problems, with multiple changes of sign in the nonlinearity ⋮ Exact multiplicity of positive solutions for concave-convex and convex-concave nonlinearities ⋮ A theorem on reversed S-shaped bifurcation curves for a class of boundary value problems and its application ⋮ Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications ⋮ On \(S\)-shaped bifurcation curves for a class of perturbed semilinear equations
Cites Work
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- Construction of upper and lower solutions for a problem of combustion theory
- Remarks on an S-shaped bifurcation curve
- Solid fuel combustion - some mathematical problems
- Global bifurcation of steady-state solutions
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- The number of solutions to an equation from catalysis
- A note on the persistence of an s-shaped bifurcation curve
- Multiple Steady States in a Biochemical System
- S-shaped bifurcation curves
- A nonlinear parabolic system in the theory of combustion
- A comparison of two methods on non-uniqueness for a class of two-point boundary value problems
- Uniqueness results for a class of positone problems
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