On the first boundary value problem for a singularly perturbed elliptic differential equation
نویسندگان
چکیده
منابع مشابه
A Boundary Value Problem for a Singularly Perturbed Differential Equation
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: Czechoslovak Mathematical Journal
سال: 1957
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1957.100257