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Remarks on non-trivial solutions of a Volterra integral equation

✍ Scribed by W. Okrasiński

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
267 KB
Volume
13
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper non‐linear integral equations describing shock wave phenomena are presented. Some necessary and sufficient conditions for the existence of non‐trivial solutions to equations of this type are given.

📜 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)

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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