u(x) is the solution of a non homogeneous elliptic problem(analogous to the sturm -liouville d.e.) where f is the nonhomogeneous part and δ is the minimum of the difference between the eigenvalues and the coefficient of the term u(x) (assuming it is different from the eigenvalues of the Laplace...
Hello everyone,
I'm currently going through Strauss "introduction to differential equations" and i can't get around a certain proof that he
gives on chapter 11.5 page(327 (2nd edition)).Specifically, the proof refers to a certain version of Fredholm's alternative theorem.
Assume that we are...