Volterra Integral Equations

  • Stephen M. Zemyan


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


Integral Equation Quadrature Rule Quadrature Method Fredholm Integral Equation Volterra Integral Equation 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Stephen M. Zemyan
    • 1
  1. 1.Department of MathematicsPennsylvania State University Mont AltoMont AltoUSA

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