Holder Continuous Solutions of Second Order Degenerate Differential Equations with Finite Delay

被引：1

作者：

Bu, Shangquan ^{[1
]}

Cai, Gang ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 01期

关键词：

Well-posedness; degenerate differential equations; C-alpha-multiplier; Holder continuous function spaces;

D O I：

10.1007/s00025-019-0982-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the C-alpha-well-posedness of the second order degenerate differential equation with finite delay (Mu)''(t)=Au(t)+Fu(t)+f(t), (t is an element of R) by using known operator-valued Fourier multiplier results on C-alpha(R;X), where A,M are closed linear operators on a complex Banach space X satisfying D(A)boolean AND D(M)not equal{0}, r>0 is fixed and F is a bounded linear operator from C([-r,0]; X) into X.

引用

页数：15

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