S-Shaped Bifurcation of a Singularly Perturbed Boundary Value Problem
نویسندگان
چکیده
منابع مشابه
Heteroclinic Bifurcation and Singularly Perturbed Boundary Value Problems
We study a singularly perturbed boundary value problrm in R”““: i =.f(s. J, E). cj= glx, .r, s), B,(s(w,), .tj(uo), E)=O, B,(.~(m,+to), ~(w,+oJ), E) =O. Given a candidate for the 0th order approximation which exhibits both boundary layers and interior layers, we present a complete procedure to compute higher order expansions and a procedure to compute the real solution near a truncated asymptot...
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has a solution «=g(x) for O^x^Xo with g(0)=a and u = h(x) tor xo^x^l with h(l)=b where g(x0)=h(x0). It will be assumed that g'(xo)*h'(xo). The case of (1) with f=l — (y')t and where \a — b\ <1 can be treated explicitly. For small e>0 the solution of (1) tends to the broken line solution of (2) with g(x)=a — x and h = b — 1+x and Xo = (l+a—b)/2. (There is another broken line solution of (2) with...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1998
ISSN: 0022-0396
DOI: 10.1006/jdeq.1997.3404