Page 446 - DMTH504_DIFFERENTIAL_AND_INTEGRAL_EQUATION

Unit 26: Volterra Integral Equation of the First Kind

26.5 Review Question Notes

Convert the Volterra integral equation of the first kind

x
y
t
x
K ( , ) ( )dt x 2
t
0
where K(x, t) is a degenerate Kernel of the form
K ( , ) xt (x 1)(t 1).
x
t
into integral equation of the second kind.
Answer: Self Assessment

x
x
x
u
1. y ( ) f ( ) e (2 ) (x u ) f ( )du
0
26.6 Further Readings

Books Tricomi, F.G., Integral Equation

Yosida, K., Lectures in Differential and Integral Equation

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