36 research outputs found
Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces
Get PDFOn the spectrum of the quadratic pencil of differential operators with periodic coefficients on the semi-axis
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Inverse spectral problem for Dirac operator with discontinuous coefficient and polynomials in boundary condition
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On the spectrum of the pencil of high order differential operators with almost periodic coefficients
No full textA Particular Case of The Inverse Problem for The Sturm-Liouville Equation with Parameter-Dependent Potential
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Partial inverse nodal problems for differential pencils on a star‐shaped graph
No full text[[abstract]]In this paper, the authors study partial inverse nodal problems for differential pencils on a star-shaped graph. We firstly show that the potential on each
edge can be uniquely determined by twin-dense nodal subsets on some interior intervals under certain conditions. Without any nodal information on some
potential on the fixed edge, we may add some spectral information to guarantee these uniqueness theorems. We still consider the case of arbitrary intervals
having the internal vertex. In particular, we pose and solve a new partial inverse
nodal problem for differential pencils on the star-shaped graph from the Weyl
m-function and the theory concerning densities of zeros of entire functions.[[notice]]補正完
