How can I calc eigenvalues to fourier series?

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Marco Esteves 2011-6-2

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https://ww2.mathworks.cn/matlabcentral/answers/8649-how-can-i-calc-eigenvalues-to-fourier-series

Sometimes you've got to calculate eigenvalues to solve fourier series. I don't know how to calc in matlab. For example, to an eigenvalue lambda and a,b e d are constants.

a*d/lambda*sin(lambda/d)+b*cos(lambda/d)=0

Thank you

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Marco Esteves 2011-6-2

my inputs are the constants a,b and d with a*b>0.

my output is lambda,the eigenvalue. But lambda is an array, indexed at discrete time,so can be called lambda_n with n=1:infinity

Walter Roberson 2011-6-2

None of your inputs are time-dependent. I did some quick testing, and found that often there is only one solution. Even if there are multiple solutions, what ordering would you impose on them to allow them to be indexed ?

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