On a nonlinear boundary value problem involving a small parameter
نویسندگان
چکیده
منابع مشابه
A Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter
It is the purpose of this paper to prove Theorems 1 and 2 below which relate the existence, uniqueness, and general behavior of the solution, y(x, e), for small e>0, of the two-point boundary value problem <y" + f(x, y)y'+ g(x, y) = 0, y(0) = yo, y(i) = yu with the solution m(x) of the corresponding "degenerate" initial value problem f(x, u)u' + g(x, u) = 0, m(1) = yi. Theorem 1 (Existence). Le...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1962
ISSN: 0004-9735
DOI: 10.1017/s1446788700027440