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Resonances of 4th order differential operators

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It is shown that the Euler-Bernoulli operator has no eigenvalues and resonances iff the positive coefficients are constants on the whole axis iff they are constants outside some finite interval.

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We consider a complex third-order differential operator on a bounded interval with boundary conditions presenting a mixed aspect of the Dirichlet and the periodic problems. It is proved that two…

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We consider the Stark operator perturbed by a compactly supported potential (of a certain class) on the real line. We prove the following results: (a) upper and lower bounds on the number of…

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For the Schrodinger operator on the half line, we show that if ϰ0={ϰ0}1∞ is a sequence of zeroes (eigenvalues and resonances) of the Jost function for some real compactly supported potential q 0 and…