𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotonic solutions of a quadratic integral equation of Volterra type

✍ Scribed by J. Banaś; A. Martinon

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
509 KB
Volume
47
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

we study a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. With the help of a suitable measure of noncompactness, we show that the mentioned integral equation has monotonic solutions.

📜 SIMILAR VOLUMES

Monotonic solutions of a class of quadra
Monotonic solutions of a class of quadratic integral equations of Volterra type
✍ J. Banaś; J. Caballero; J. Rocha; K. Sadarangani 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 505 KB

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. (~)

On monotonic solutions of an integral eq
On monotonic solutions of an integral equation of Volterra–Stieltjes type
✍ J. Caballero; J. Rocha; K. Sadarangani 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract The aim of this paper is to obtain monotonic solutions of an integral equation of Volterra–Stieltjes type in __C__ [0, 1]. Existence will be established with the aid of a measures of noncompactness. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

On solutions of a quadratic integral equ
On solutions of a quadratic integral equation of Hammerstein type
✍ J. Banaś; J. Rocha Martin; K. Sadarangani 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 211 KB

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