Open AccessON THE SOLUTION SETS OF DIFFERENTIAL INCLUSION IN BANACH SPACES
Author(s) -
A. Anguraj,
K. Balachandran
Publication year - 1992
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.23.1992.4527
Subject(s) - retract , differential inclusion , banach space , mathematics , set (abstract data type) , space (punctuation) , differential (mechanical device) , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , physics , thermodynamics , computer science , programming language , operating system
We prove the set of all classical solutions of the differential inclusion
\[ \dot x(t) \in A(t,x) +F(t,x,\dot x) \quad x(t_0) = x_0, \dot x(t_0) = y_0 \]
is a retract of the space $C^1$.