Using the technique associated with measures of noncompactness we prove the existence of monotonic solutions of a class of quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. (~)
Monotonic solutions of a perturbed quadratic fractional integral equation
β Scribed by Mohamed Abdalla Darwish; Sotiris K. Ntouyas
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 552 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we shall study a fractional integral equation in an arbitrary Banach space X . We used the analytic semigroups theory of linear operators and the fixed point method to establish the existence and uniqueness of solutions of the given problem. We also prove the existence of global soluti
We study the solvability of a nonlinear quadratic integral equation of Hammerstein type. Using the technique of measures of noncompactness we prove that this equation has solutions on an unbounded interval. Moreover, we also obtain an asymptotic characterization of these solutions. Several special c
## Abstract The aim of this paper is to obtain monotonic solutions of an integral equation of VolterraβStieltjes type in __C__ [0, 1]. Existence will be established with the aid of a measures of noncompactness. (Β© 2006 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)