### Integral Equations, Calculus of Variations and its Applications

**Integral Equations, Calculus of Variations and its Applications**. Instructors: Dr. P. N. Agarwal and Dr. D. N. Pandey, Department of Mathematics, IIT Roorkee. This course is a basic course offered to PG students of Engineering/Science background. It contains Fredholm and Volterra integral equations and their solutions using various methods such as Neumann series, resolvent kernels, Green's function approach and transform methods. It also contains extrema of functional, the Brachistochrone problem, Euler equation, variational derivative and invariance of Euler equations. It plays an important role for solving various engineering sciences problems. Therefore, it has tremendous applications in diverse fields in engineering sciences.
(from **nptel.ac.in**)

Definition and Classification of Linear Integral Equations |

References |

Integral Equations, Calculus of Variations and its ApplicationsInstructors: Dr. P. N. Agarwal and Dr. D. N. Pandey, Department of Mathematics, IIT Roorkee. This course contains Fredholm and Volterra integral equations and their solutions using various methods such as Neumann series, resolvent kernels, Green's function approach and transform methods. |