## 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
Duality Theory for Solutions to Volterra Integral Equations
β Scribed by Michael Jung
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 164 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We introduce a two-kernel dependent family of strong continuous operators defined in a Banach space, which allows us to consider in an unified treatment the notions of, among others, C -semigroups of operators, cosine families, n-times 0 integrated semigroups, resolvent families and k-generalized so
## Abstract Some boundaries about the solution of the linear Volterra integral equations of the form __f__(__t__)=1β__K\*f__ were obtained as |__f__(__t__)|β©½1, |__f__(__t__)|β©½2 and |__f__(__t__)|β©½4 in (__J. Math. Anal. Appl.__ 1978; **64**:381β397; __Int. J. Math. Math. Sci.__ 1982; **5**(1):123β13
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## Communicated by I. Stratis The purpose of the present paper is to show that the well-known homotopy analysis method for solving ordinary and partial differential equations can be applied to solve linear and nonlinear integral equations of Volterra's type with high accuracy as well. Comparison o