Page 187 - Handbook Of Integral Equations
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2.7-5. Kernels Containing Hyperbolic and Trigonometric Functions

                                x
                                    k
                                            m
               42.   y(x) – A   cosh (λx) cos (µt)y(t) dt = f(x).
                             a
                                                                   k                m
                     This is a special case of equation 2.9.2 with g(x)= A cosh (λx) and h(t) = cos (µt).
                                x
                                    k      m
               43.   y(x) – A   cosh (λt) cos (µx)y(t) dt = f(x).
                             a
                                                                                    k
                                                                  m
                     This is a special case of equation 2.9.2 with g(x)= A cos (µx) and h(t) = cosh (λt).
                              x

                                    k
                                           m
               44.   y(x) – A   cosh (λx) sin (µt)y(t) dt = f(x).
                             a
                                                                                   m
                                                                   k
                     This is a special case of equation 2.9.2 with g(x)= A cosh (λx) and h(t) = sin (µt).
                              x

                                    k
                                           m
               45.   y(x) – A   cosh (λt) sin (µx)y(t) dt = f(x).
                             a
                                                                  m
                                                                                    k
                     This is a special case of equation 2.9.2 with g(x)= A sin (µx) and h(t) = cosh (λt).
                                x
                                   k
                                           m
               46.   y(x) – A   sinh (λx) cos (µt)y(t) dt = f(x).
                             a
                                                                   k               m
                     This is a special case of equation 2.9.2 with g(x)= A sinh (λx) and h(t) = cos (µt).
                                x
                                   k       m
               47.   y(x) – A   sinh (λt) cos (µx)y(t) dt = f(x).
                             a
                                                                                    k
                                                                  m
                     This is a special case of equation 2.9.2 with g(x)= A cos (µx) and h(t) = sinh (λt).
                              x

                                   k
                                           m
               48.   y(x) – A   sinh (λx) sin (µt)y(t) dt = f(x).
                             a
                                                                   k
                                                                                   m
                     This is a special case of equation 2.9.2 with g(x)= A sinh (λx) and h(t) = sin (µt).
                              x

                                   k
                                           m
               49.   y(x) – A   sinh (λt) sin (µx)y(t) dt = f(x).
                             a
                                                                                    k
                                                                  m
                     This is a special case of equation 2.9.2 with g(x)= A sin (µx) and h(t) = sinh (λt).
                                x
                                            m
                                    k
               50.   y(x) – A   tanh (λx) cos (µt)y(t) dt = f(x).
                             a
                                                                   k               m
                     This is a special case of equation 2.9.2 with g(x)= A tanh (λx) and h(t) = cos (µt).
                                x
                                    k      m
               51.   y(x) – A   tanh (λt) cos (µx)y(t) dt = f(x).
                             a
                                                                                    k
                                                                  m
                     This is a special case of equation 2.9.2 with g(x)= A cos (µx) and h(t) = tanh (λt).
                              x

                                    k
                                            m
               52.   y(x) – A   tanh (λx) sin (µt)y(t) dt = f(x).
                             a
                                                                   k
                                                                                   m
                     This is a special case of equation 2.9.2 with g(x)= A tanh (λx) and h(t) = sin (µt).
                              x

                                           m
                                    k
               53.   y(x) – A   tanh (λt) sin (µx)y(t) dt = f(x).
                             a
                                                                                    k
                                                                  m
                     This is a special case of equation 2.9.2 with g(x)= A sin (µx) and h(t) = tanh (λt).
                 © 1998 by CRC Press LLC
               © 1998 by CRC Press LLC
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