On Solution of Nonlinear Abel–Volterra Integral Equation
✍ Scribed by Anatoly A. Kilbas; Megumi Saigo
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 128 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## 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.
## Abstract We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equati
## 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
## 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)