Keywords: Time scale, delta and nabla derivatives and integrals, Green's function, completely continuous operator, eigenfunction expansion.
Next in Section 3 it is shown, by using the Hilbert-Schmidt theorem on symmetric completely continuous operators, that the eigenvalue problem (1.
Then A : K [right arrow] K is a completely continuous operator.
rho]] [intersection] P [right arrow] P be a completely continuous operator, i(A,[B.
rho]][intersection] P [right arrow] P is a completely continuous operator.
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, approximation methods for linear operator equations, interval methods for operator equations, contraction mappings and iterative methods, Newton's method in Banach spaces, variants of Newton's methods, and homotopy and continuation methods and a hybrid method for a free-boundary problem.