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Monotonic solutions of a class of quadratic integral equations of Volterra type

✍ Scribed by J. Banaś; J. Caballero; J. Rocha; K. Sadarangani

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
505 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

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. (~)

📜 SIMILAR VOLUMES

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 the solutions of the linear integral
On the solutions of the linear integral equations of Volterra type
✍ İsmet Özdemir; Ö. Faruk Temizer 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 307 KB

## Abstract Some boundaries about the solution of the linear Volterra integral equations of the form __f__(__t__)=1−__K\*f__ were obtained as |__f__(__t__)|⩽1, |__f__(__t__)|⩽2 and |__f__(__t__)|⩽4 in (__J. Math. Anal. Appl.__ 1978; **64**:381–397; __Int. J. Math. Math. Sci.__ 1982; **5**(1):123–13