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Volterra Integral Equations

In: The Classical Theory of Integral Equations

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  • Stephen M. Zemyan

    (Pennsylvania State University Mont Alto, Department of Mathematics)

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.

Suggested Citation

  • Stephen M. Zemyan, 2012. "Volterra Integral Equations," Springer Books, in: The Classical Theory of Integral Equations, edition 127, chapter 0, pages 151-182, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8349-8_4
    DOI: 10.1007/978-0-8176-8349-8_4
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