Page 356 - Handbook Of Integral Equations
P. 356

◦
               1 . The solution of the equation
                                               b

                                                          λ
                                       y(x)+    K(x, t)(x/t) y(t) dt = f(x)
                                              a
               has the form
                                                     b

                                                                λ
                                       y(x)= f(x)+    R(x, t)(x/t) f(t) dt.
                                                    a
               2 . The solution of the equation
                ◦
                                               b

                                        y(x)+   K(x, t)e λ(x–t) y(t) dt = f(x)
                                              a
               has the form
                                                      b
                                       y(x)= f(x)+    R(x, t)e λ(x–t) f(t) dt.
                                                    a























































                 © 1998 by CRC Press LLC









               © 1998 by CRC Press LLC
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