Inverse problems for evolution equations of the integrodifferential type
The problem of determining the relaxation kernel using a solution of the inverse problem for an evolution equation which describes the distortion of the profile of an individual wave is analyzed. The general case when the kernel is specified in parametric form, and the special case of an exponential kernel, are considered. The nonlinear inverse problem is solved using the gradient method. For a linear equation the possibility of using the Laplace transform method is pointed out.
scientific article; zbMATH DE number 3977664