Volterra Integral Equations

Abdul-Majid Wazwaz ()
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Abdul-Majid Wazwaz: Saint Xavier University

Chapter Chapter 3 in Linear and Nonlinear Integral Equations, 2011, pp 65-118 from Springer

Abstract: Abstract It was stated in Chapter 2 that Volterra integral equations arise in many scientific applications such as the population dynamics, spread of epidemics, and semi-conductor devices. It was also shown that Volterra integral equations can be derived from initial value problems. Volterra started working on integral equations in 1884, but his serious study began in 1896. The name sintegral equation was given by du Bois-Reymond in 1888. However, the name Volterra integral equation was first coined by Lalesco in 1908.

Keywords: Integral Equation; Exact Solution; Decomposition Method; Recurrence Relation; Successive Approximation (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-21449-3_3

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