where p > , φp(x) = |x|p–x for x =  and φp() = , c ∈ Cn(R,R) and c(t + T) ≡ c(t), f is a continuous function defined in R and periodic in t with f (t, ·) = f (t + T , ·) and f (t, ) = , g(t,x) = g(x) + g(t,x), where g : R × (, +∞) → R is an L-Carathéodory function, g(t, ·) = g(t + T , ·), g ∈ C((,∞);R) has a singularity at x = , e : R→ R is a continuous periodic function with ...

Controlling the thermal expansion of materials is of great technological importance. Uncontrolled thermal expansion can lead to failure or irreversible destruction of structures and devices. In ordinary crystals, thermal expansion is governed by the asymmetry of the microscopic binding potential, which cannot be adjusted easily. In artificial crystals called metamaterials, thermal expansion can...

In 1992 International Rectifier Corp. introduced the first commercially available diode based on this concept [3]. The superior properties of those devices have been improved further by means of axial lifetime engineering [4-7]. The final result is an IGBT companion diode with low forward voltage drop, a positive temperature coefficient, soft reverse recovery, and high ruggedness. This paper sh...

polymer-graphite powder composite behaves as a low-conductive material which can be used as an automatic fuse for adhesive connector in electrical circuits. the conductivity of this composite, below its transition temperature, tt, depends on concentration of carbon powder, slowly decreases as the temperature increases. meanwhile, the electrical resistivity of this material in transition tempera...