in this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. furthermore, we obtain the zeros of eigenfunctions.

In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of i...

Chaotic features of the macro-instability (MI) of flow patterns in stirred tanks are studied in this paper. Datasets obtained by measuring the axial component of the fluid velocity and the tangential force affecting the baffles are used. Two geometrically identical, flat-bottomed cylindrical mixing tanks (diameter of 0.3m) stirred with either pitched blade turbine impellers or Rushton turbine i...

To explain the low frequencies of quantum oscillations observed in lightly doped cuprates, we consider two-dimension Hubbard model supplemented with perpendicular magnetic field. For large repulsions, electron spectrum is investigated using cluster perturbation theory. Obtained at small deviations from half-filling are close to those experimentally, $F\approx500$~T. They stem Fermi surface pock...

Giant anomalous Hall effect (AHE) and magneto-optical activity can emerge in magnets with topologically nontrivial degeneracies. However, identifying the specific band-structure features such as Weyl points, nodal lines, or planes which generate response is a challenging issue. Since low-energy interband transitions govern static AHE, we addressed this question prototypical magnetic semimetal $...

An efficient regeneration protocol was developed from shoot tip and nodal explants of Simarouba glauca DC, a promising biodiesel plant. Nodal explants appeared to have better regeneration capacity than shoot tip explants (40%) in the tested media. The highest regeneration frequency (90%) and shoot number (7.00 ± 1.00 shoots per explants) were obtained in nodal explants in Murashige and Skoog’s ...