Further Existence Theorems for Initial Value Problems in Scales of Banach Spaces

1989 ◽  
pp. 158-177
Author(s):  
Wolfgang Tutschke
Keyword(s):  
Banach Spaces ◽  
Initial Value Problems ◽  
Existence Theorems ◽  
Initial Value ◽  
Scales Of Banach Spaces

scholarly journals Existence results for second order functional differential and integrodifferential inclusions in Banach spaces

2001 ◽  
Vol 32 (4) ◽  
pp. 315-325
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Initial Value Problems ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Second Order ◽  
Initial Value ◽  
Functional Differential ◽  
Condensing Maps

In this paper we investigate the existence of solutions on a compact interval to second order initial value problems for functional differential and integrodifferential inclusions in Banach spaces. We shall make use of a fixed point theorem for condensing maps due to Martelli.

Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces

2000 ◽  
Vol 7 (4) ◽  
pp. 609-625 ◽  
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Banach Spaces ◽  
Initial Value Problems ◽  
Mild Solutions ◽  
Existence Results ◽  
Topological Spaces ◽  
Initial Value ◽  
Infinite Intervals ◽  
Functional Differential ◽  
The Fixed Point Theorem ◽  
Locally Convex

Abstract In this paper we investigate the existence of mild solutions, on infinite intervals, to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces. We shall rely on the fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem.

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