The Solution Set to BVP for Some Functional Differential Inclusions

被引：0
|
作者：
A. Augustynowicz
Z. Dzedzej
B. D. Gelman
机构：
[1] University of Gdańsk,Institute of Mathematics
[2] Voronezh State University,Department of Mathematics
来源：
Set-Valued Analysis | 1998年 / 6卷
关键词：
differential inclusions; boundary value problem; dimension of solution set;
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摘要：
We consider a multivalued BVP x'(t)∈ A(t)x(α(t))+λ F(t,x(β(t))), Lx=θ . Under appropriate assumptions on A, L and F, we prove that for sufficiently small λ the set of solutions to this problem is a nonempty infinite dimensional AR-space (Theorem 4).
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页码：257 / 263
页数：6
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