Volterra Integral Equations

Stephen M. Zemyan
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Stephen M. Zemyan: Pennsylvania State University Mont Alto, Department of Mathematics

Chapter Chapter 4 in The Classical Theory of Integral Equations, 2012, pp 151-182 from Springer

Abstract: Abstract In this chapter, our attention is devoted to the Volterra integral equation of the second kindwhich assumes the form 4.1 $$\phi (x) = f(x) + \lambda \,{\int \nolimits }_{a}^{x}\,K(x,t)\,\phi (t)\,\mathrm{d}t.$$ Volterra integral equations differ from Fredholm integral equations in that the upper limit of integration is the variable x instead of the constant b.

Keywords: Integral Equation; Quadrature Rule; Quadrature Method; Fredholm Integral Equation; Volterra Integral Equation (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8349-8_4

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