A small fraction of the excitons are able to dissociate and form unbounded electron-hole (e-h) pairs [124].
Unbounded Riemann measurable operators form a τ-a.e.
According to the recent trend in data acquisition and processing technology, big data are increasingly available in the form of unbounded streams of elementary data items to be processed in real-time.
Every domain of this form is unbounded by definition, but in fact has a bounded realization and hence is Kobayashi-hyperbolic.
We study the Dirichlet problem for linear elliptic second order partial differential equations with discontinuous coefficients in divergence form in unbounded domains.
Song and Tian [3] studied periodic and almost periodic solutions of discrete Volterra equations with unbounded delay of the form (1.2).
In particular, if (f u) > 0) for every (u in,]0, 1[ ), then the admissible speeds form an unbounded interval ([c^, +infty[ ), where the value (c^) takes the name of critical speed.
For further studies of the Dirichlet problem for linear elliptic second order differential equations with discontinuous coefficients in divergence form in unbounded domains we refer the reader also to [11 13].
They also proved that the spatial segregation of (rho(x)) and (b(x)) could cause the positive solution curve to form an unbounded fish-hook shaped curve with parameter λ.
Similar impulsive perturbations were considered in [14] by studying the asymptotic constancy of an impulsive neutral differential equation of Euler form with unbounded delays, textstylebegin{cases} [x t -C t)x(alpha t)]'+frac{P(t)}{t}x(beta t)=0, quad tgeq t_{0}>0, tneq t_{k}, x(t_{k}^)=b_{k}x(t_{k})+(1-b_{k})int_{beta t_{k}}^{t_{k}}frac{P(s/beta )}{s}x(s),ds, quad kinmathbb{Z}_.
