We prove that the continuous functions f, for which the corresponding problem x˙=f(t,x), x(t0)=x0 has no solution, are dense in the space C(R×E,E) (E a Banach space).
A DENSITY RESULT FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES / G. PIANIGIANI. - In: BULLETIN DE L'ACADÉMIE POLONAISE DES SCIENCES. SÉRIE DES SCIENCES MATHÉMATIQUES, ASTRONOMIQUES ET PHYSIQUES. - ISSN 0001-4117. - STAMPA. - 26:(1978), pp. 791-793.
A DENSITY RESULT FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES
PIANIGIANI, GIULIO
1978
Abstract
We prove that the continuous functions f, for which the corresponding problem x˙=f(t,x), x(t0)=x0 has no solution, are dense in the space C(R×E,E) (E a Banach space).
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