Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type
β Scribed by Neville J. Ford; Christopher T.H. Baker
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 617 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
## 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
In this paper, we use operational matrices of piecewise constant orthogonal functions on the interval [0, 1) to solve Volterra integral and integro-differential equations of convolution type without solving any system. We first obtain Laplace transform of the problem and then we find numerical inver
## Abstract The asymptotic behaviour of solutions of nonlinear VOLTERRA integral equations is studied in a real BANACH spaces. The nonlinear operator is assumed to satisfy some accretivityβtype conditions.