The Solutions of a Model Nonlinear Singular Perturbation Problem Having A Continuous Locus of Singular Points
نویسندگان
چکیده
منابع مشابه
A nonlinear singular perturbation problem
Let F (uε) + ε(uε − w) = 0 (1) where F is a nonlinear operator in a Hilbert space H, w ∈ H is an element, and ε > 0 is a parameter. Assume that F (y) = 0, and F ′(y) is not a boundedly invertible operator. Sufficient conditions are given for the existence of the solution to (1) and for the convergence limε→0 ‖uε−y‖ = 0. An example of applications is considered. In this example F is a nonlinear ...
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 1980
ISSN: 0022-2526
DOI: 10.1002/sapm1980632119