Page 318 - Handbook Of Integral Equations

b

k
m
27. y(x) – λ cosh (βt)ln (µx)y(t) dt = f(x).
a
m
k
This is a special case of equation 4.9.1 with g(x)=ln (µx) and h(t) = cosh (βt).

b
k m
28. y(x) – λ sinh (βx)ln (µt)y(t) dt = f(x).
a
k
m
This is a special case of equation 4.9.1 with g(x) = sinh (βx) and h(t)=ln (µt).
b

k
m
29. y(x) – λ sinh (βt)ln (µx)y(t) dt = f(x).
a
k
m
This is a special case of equation 4.9.1 with g(x)=ln (µx) and h(t) = sinh (βt).
b
m
k
30. y(x) – λ tanh (βx)ln (µt)y(t) dt = f(x).
a
k m
This is a special case of equation 4.9.1 with g(x) = tanh (βx) and h(t)=ln (µt).
b
m
k
31. y(x) – λ tanh (βt)ln (µx)y(t) dt = f(x).
a
m k
This is a special case of equation 4.9.1 with g(x)=ln (µx) and h(t) = tanh (βt).
b
k
m
32. y(x) – λ coth (βx)ln (µt)y(t) dt = f(x).
a
k
m
This is a special case of equation 4.9.1 with g(x) = coth (βx) and h(t)=ln (µt).

b
k
m
33. y(x) – λ coth (βt)ln (µx)y(t) dt = f(x).
a
m
k
This is a special case of equation 4.9.1 with g(x)=ln (µx) and h(t) = coth (βt).
4.7-5. Kernels Containing Hyperbolic and Trigonometric Functions

b
k m
34. y(x) – λ cosh (βx) cos (µt)y(t) dt = f(x).
a
m
k
This is a special case of equation 4.9.1 with g(x) = cosh (βx) and h(t) = cos (µt).
b

k
m
35. y(x) – λ cosh (βt) cos (µx)y(t) dt = f(x).
a
k
m
This is a special case of equation 4.9.1 with g(x) = cos (µx) and h(t) = cosh (βt).
b
m
k
36. y(x) – λ cosh (βx) sin (µt)y(t) dt = f(x).
a
k m
This is a special case of equation 4.9.1 with g(x) = cosh (βx) and h(t) = sin (µt).
© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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