On the Exactness of an S - Shaped Bifurcation Curve 10132
نویسندگان
چکیده
For a class of two-point boundary value problems we prove exact-ness of an S-shaped bifurcation curve. Our result applies to a problem from combustion theory, which involves nonlinearities like e au=(u+a) for a > 0. 1. Introduction We consider positive solutions of u 00 + f(u) = 0 on (?1; 1); u(?1) = u(1) = 0: (1.1) Here is a positive parameter, and we wish to describe all solutions of (1.1) for all values of. Our main example will be f(u) = e
منابع مشابه
On the Exactness of an S-Shaped Bifurcation Curve
For a class of two-point boundary value problems we prove exactness of S-shaped bifurcation curve. Our result applies to a problem from combustion theory, which involves nonlinearities like e for a > 0.
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