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Existence of Solutions for a Class of State-dependent Neutral Differential Equations
Received:June 07, 2004
Key Words
:
quasi-Banach space
state-dependent neutral differential equations
existence
uniqueness.
Fund Project
:
Author Name
Affiliation
SHU Xiao-bao
Department of Mathematics
,
Hunan University
,
Changsha 410082
,
China
XU Yuan-tong
Department of Mathematics
,
SUN Yat-Sen University
,
Guangzhou 510275
,
China
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Abstract
:
By using fixed point method, we study the existence and uniqueness of solutions for state-dependent neutral differential systems $$x'(t)=f(x(t),x(t-r),x'(t-r)),\quad r=r(x(t))$$ on quasi-Banach space.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2006.03.023
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