Remark concerning oscillatory properties of solutions of a certain nonlinear equation of the third order

summary:Sufficient conditions for oscillation of a certain nonlinear trinomial third order differential equation are proved

On oscillatory solutions of fourth order ordinary differential equations

summary:The paper deals with the oscillation of a differential equation $L_4y+P(t)L_2y+Q(t)y\equiv 0$ as well as with the structure of its fundamental system of solutions

SOLVABILITY OF HIGHER-ORDER BVPS IN THE HALF-LINE WITH UNBOUNDED NONLINEARITIES

This work presents suficient conditions for the existence of unbounded solutions of a Sturm-Liouville type boundary value problem on the half-line. One-sided Nagumo condition plays a special role because it allows an asymmetric unbounded behavior on the nonlinearity. The arguments are based on fixed point theory and lower and upper solutions method. An example is given to show the applicability of our results

Optical absorption edge and luminescence in phosphorous-implanted Cu₆PS₅X (X = I, Br) single crystals

Implantation of Cu₆PS₅X (X = I, Br) single crystals was carried out for different values of fluence with using P+ ions; the energy of ions was 150 keV. For the implanted Cu₆PS₅X crystals, the structural studies were performed using the scanning electron microscopy technique and energy-dispersive X-ray spectroscopy. Spectrometric studies of optical absorption edge and luminescence were carried out within the temperature range 77…320 K. The influence of ionic implantation on luminescence spectra, parameters of Urbach absorption edge, parameters of exciton-phonon interaction as well as ordering-disordering processes in Cu₆PS₅X (X = I, Br) superionic conductors have been studied

Optical absorption edge and luminescence in phosphorous-implanted Cu₆PS₅X (X = I, Br) single crystals

Implantation of Cu6PS5X (X = I, Br) single crystals was carried out for different values of fluence with using P⁺ ions; the energy of ions was 150 keV. For the implanted Cu₆PS₅X crystals, the structural studies were performed using the scanning electron microscopy technique and energy-dispersive X-ray spectroscopy. Spectrometric studies of optical absorption edge and luminescence were carried out within the temperature range 77…320 K. The influence of ionic implantation on luminescence spectra, parameters of Urbach absorption edge, parameters of exciton-phonon interaction as well as ordering-disordering processes in Cu₆PS₅X (X = I, Br) superionic conductors have been studied