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• # Artykuł - szczegóły

## Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1996 | 16 | 2 | 171-177

## Existence theorem for the Hammerstein integral equation

EN

### Abstrakty

EN
In this paper we prove an existence theorem for the Hammerstein integral equation
$x(t) = p(t) + λ ∫_I K(t,s)f(s,x(s))ds$, where the integral is taken in the sense of Pettis. In this theorem continuity assumptions for f are replaced by weak sequential continuity and the compactness condition is expressed in terms of the measures of weak noncompactness. Our equation is considered in general Banach spaces.

EN

171-177

wydano
1996

### Twórcy

autor
• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
autor
• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

### Bibliografia

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