[1]
|
Laetsch, T. (1970) The Number of Solution of a Nonlinear Two Point Boundary Value Problem. Indiana University Mathematics Journal, 20, 1-13. https://doi.org/10.1512/iumj.1971.20.20001
|
[2]
|
Wang, S.-H. and Long, D.-M. (2001) An Exact Multiplicity Theorem Involving Concave-Convex Nonlinearities and Its Application to Stationary Solutions of a Singular Diffusion Problem. Nonlinear Analysis, 44, 469-486.
https://doi.org/10.1016/S0362-546X(99)00272-2
|
[3]
|
Hung, K.-C. and Wang, S.-H. (2011) A Theorem on S-Shaped Bifurcation Curve for a Positone Problem with Convex-Concave Nonlinearity and its Applications to the Perturbed Gelfand Problem. Journal of Differential Equations, 251, 223-237. https://doi.org/10.1016/j.jde.2011.03.017
|
[4]
|
Korman, P. and Li, Y. (2014) Exact Multiplicity of Positive Solutions for Concave-Convex and Convex-Concave Nonlinearities. Journal of Differential Equations, 257, 3730-3737. https://doi.org/10.1016/j.jde.2014.07.007
|
[5]
|
Brown, K.J., Ibrahim, M.M.A. and Shivaji, R. (1981) S-Shaped Bifurcation Curves. Nonlinear Analysis, 5, 475-486.
https://doi.org/10.1016/0362-546X(81)90096-1
|
[6]
|
Korman, P. and Li, Y. (1999) On the Exactness of an S-Shaped Bifurcation Curve. Proceedings of the American Mathematical Society, 127, 1011-1020. https://doi.org/10.1090/S0002-9939-99-04928-X
|
[7]
|
Huang, S.-Y. and Wang, S.-H. (2015) On S-Shaped Bifurcation Curves for a Two-Point Boundary Value Problem Arising in Theory of Thermal Explosion. Discrete and Continuous Dynamical Systems, 35, 4839-4858.
https://doi.org/10.3934/dcds.2015.35.4839
|
[8]
|
Huang, S.-Y. and Wang, S.-H. (2016) Proof of a Conjecture for the One-Dimensional Perturbed Gelf and Problem from Combustion Theory. Archive for Rational Mechanics and Analysis, 222, 769-825.
https://doi.org/10.1007/s00205-016-1011-1
|
[9]
|
Wang, S.-H. (1994) On S-Shaped Bifurcation Curves. Nonlinear Analysis Theory Methods & Applications, 22, 1475-1485. ttps://doi.org/10.1016/0362-546X(94)90183-X
|
[10]
|
Du, Y. (2005) Bifurcation and Related Topics in Elliptic Problems. Handbook of Differential Equations Stationary Partial Differential Equations, 2, 127-209. https://doi.org/10.1016/S1874-5733(05)80011-7
|
[11]
|
Y.Du, Y.Lou (2001) Proof of a Conjecture for the Perturbed Gelfand Equation from Combustion Theory, Journal of Differential Equations, 173, 213-230. https://doi.org/10.1006/jdeq.2000.3932
|
[12]
|
Korman, P. (2006) Global Solution Branches and Exact Multiplicity of Solutions for Two Point Boundary Value Problems. Handbook of Differential Equations Ordinary Differential Equations, 3, 547-606.
https://doi.org/10.1016/S1874-5725(06)80010-6
|
[13]
|
Korman, P., Li, Y. and Ouyang, T. (2005) Computing the Location and the Direction of Bifurcation. Mathematical Research Letters, 12, 933-944. https://doi.org/10.4310/MRL.2005.v12.n6.a13
|
[14]
|
Smoller, J. and Wasserman, A. (1981) Global Bifurcation of Steady-State Solutions. Journal of Differential Equations, 39, 269-290. https://doi.org/10.1016/0022-0396(81)90077-2
|