Linear Integral Equations

Good Books for reference:

  1. Linear integral equations by Ram P. Kanwal

  2. The classical theory of integral equations: A concise treatment by S. M. Zemyan


Syllabus for linear integral equations

Linear integral equation of the first and second kind of Fredholm and Volterra type

Solutions with separable kernels

Characteristic numbers and eigenfunctions

Resolvent kernel


Lecture 1: Integral equations (Linear integral equations of first and second kind)

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Lecture 2: Integral equations (Some basics about integral equations)

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Lecture 3: Integral equations (Integral equations with separable kernel-1)

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Lecture 4: Integral equations (Solving a Fredholm integral equation with degenrate kernel)

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Lecture 5: Integral equations (Solving a problem on resolvent kernel)

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Lecture 6: Integral equations ( Fredholm Theorem for Fredholm integral of second kind with D(lambda) nonzero)

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Lecture 7: Integral equations (Fredholm homogeneous integral equations of second kind (det zero))

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Lecture 8: Integral equations (Fredholm alternative theorem-I)

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Lecture 9: Integral equations (Fredholm Alternative theorem -II)

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