Category:Volterra Integral Equations
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This category contains results about Volterra Integral Equations.
Definitions specific to this category can be found in Definitions/Volterra Integral Equations.
The Volterra integral equations are integral equations of the first and second kind such that the limits of integration are between a constant $a$ and the variable $x$:
Volterra Integral Equation of the First Kind
A Volterra integral equation of the first kind is an integral equation of the form:
- $\ds \map f x = \lambda \int_a^x \map K {x, y} \map g y \rd y$
where $g$ is an unknown real function.
Volterra Integral Equation of the Second Kind
A Volterra integral equation of the second kind is an integral equation of the form:
- $\ds \map g x = \map f x + \lambda \int_a^x \map K {x, y} \map g y \rd y$
where $g$ is an unknown real function.
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