calculus of variations-Euler lagrange equations-Necessary and sufficient conditions for extrema.
variational Methods for boundary value problem in ordinary and partial differential equations.
Linear integral equations of the first and second kind of Fredholm and Volterra tupe - solutions with separable kinds.
Characteristics number and eigen functions,re solvent kernel.
Symmetric kernels and singular integral equations.
Reference Book:
1.l.Elsgolts,'Differential equations and the calculus of variations',Mir publishers, Moscow 1973. 2. A.S.Gupta "Calculus of variations with applications ", Prentice Hall of India -New Delhi 1997. 3.Ram.P.Kanwal , Linear integral equations-Academic press, Newyork 1971.
Text Book:
1.Advanced Differential equations by Dr.M.D.Raisinghania -15th revised edition 2012, S. Chand Publications. 2. Integral equations and boundary value problems by Dr.M.D.Raisinghania, Fourth revised edition,2011, S.. Chand Publication.
