On some continuous and discrete equations in Banach spaces on unbounded intervals

In this paper we study existence theorems for continuous and discrete problems of forms y(t)=h(t)+∫ t 0K(t,s)f(s,y(s)) ds , t∈[0,∞) and y( i)= h( i)+∑ j=0 ∞ G( i, j) f( i, y( j)), i∈{0,1,2,…}, on the unbounded interval, where “∫” denote the Pettis integral and f is weakly–weakly sequentially continu...

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Bibliographic Details
Published in:Applied mathematics and computation 2003-04, Vol.136 (2), p.463-473
Main Authors: Kubiaczyk, I., Majcher, P.
Format: Article
Language:English
Subjects:
Discrete equation
Exact sciences and technology
Existence
Integral equation
Integral equations
Mathematical analysis
Mathematics
Measures of noncompactness
Sciences and techniques of general use
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Summary:In this paper we study existence theorems for continuous and discrete problems of forms y(t)=h(t)+∫ t 0K(t,s)f(s,y(s)) ds , t∈[0,∞) and y( i)= h( i)+∑ j=0 ∞ G( i, j) f( i, y( j)), i∈{0,1,2,…}, on the unbounded interval, where “∫” denote the Pettis integral and f is weakly–weakly sequentially continuous.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00059-0