Displaying 961 – 980 of 1716

Showing per page

On the existence of a fuzzy integral equation of Urysohn-Volterra type

Mohamed Abdalla Darwish (2008)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.

On the existence of solutions of nonlinear integral equations in Banach spaces and Henstock-Kurzweil integrals

Aneta Sikorska-Nowak (2004)

Annales Polonici Mathematici

We prove some existence theorems for nonlinear integral equations of the Urysohn type x ( t ) = φ ( t ) + λ 0 a f ( t , s , x ( s ) ) d s and Volterra type x ( t ) = φ ( t ) + 0 t f ( t , s , x ( s ) ) d s , t I a = [ 0 , a ] , where f and φ are functions with values in Banach spaces. Our fundamental tools are: measures of noncompactness and properties of the Henstock-Kurzweil integral.

Currently displaying 961 – 980 of 1716