Continuation of solutions of constrained extremum problems and nonlinear eigenvalue problems
نویسندگان
چکیده
منابع مشابه
Continuation of Solutions of Constrained Extremum Problems and Nonlinear Eigenvalue Problems
In this paper we continue our investigations. begun in the previous paper, of describing the solution sets of constrained extremum problems inf Au). l&l-‘(p) (*) where fand f are twice continuously differentiable functionals on a reflexive Banach space V, and r-‘(p) denotes the level set of the functional f with value p E R. Considering p as a parameter in (*) we obtain results concerning the c...
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15 صفحه اولAsymptotic Shape of Solutions to Nonlinear Eigenvalue Problems
We consider the nonlinear eigenvalue problem −u′′(t) = f(λ, u(t)), u > 0, u(0) = u(1) = 0, where λ > 0 is a parameter. It is known that under some conditions on f(λ, u), the shape of the solutions associated with λ is almost ‘box’ when λ 1. The purpose of this paper is to study precisely the asymptotic shape of the solutions as λ → ∞ from a standpoint of L1-framework. To do this, we establish t...
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ژورنال
عنوان ژورنال: Mathematical Modelling
سال: 1980
ISSN: 0270-0255
DOI: 10.1016/0270-0255(80)90061-5