In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,wi...In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,with the help of a fixed point approach.We use Gronwall’s inequality on time scales,an abstract Growall’s lemma and a Picard operator as basic tools to develop our main results.To overcome some difficulties,we make a variety of assumptions.At the end an example is given to demonstrate the validity of our main theoretical results.展开更多
The energy storage properties of (1-x)Bi_(0.5)Na_(0.5)TiO_(3-x)BaTiO_(3)(0≤x≤0.08)(BNT-BT)ceramics obtained via sol-gel method are determined from the polarization versus electric field(P-E)loops at various temperat...The energy storage properties of (1-x)Bi_(0.5)Na_(0.5)TiO_(3-x)BaTiO_(3)(0≤x≤0.08)(BNT-BT)ceramics obtained via sol-gel method are determined from the polarization versus electric field(P-E)loops at various temperatures.The energy storage densities are observed to increase with increase in temperature and this may be attributed to the presence of antiferroelectric(AFE)phase at higher temperature(≥120℃).Obvious changes are observed in the saturation polarization(P_(s)) and remnant polarization(P_(r)) with increasing temperature.The maximum energy storage density of 0.6 J/cm^(3)is observed for x=0:06 in the AFE phase at 150℃for 90 kV/cm of applied electric field.BNT-BT can be a promising candidate for energy storage devices to be used in above-roomtemperature environment.展开更多
基金supported by Talent Project of Chongqing Normal University(02030307-0040)the China Posdoctoral Science Foundation(2019M652348)+1 种基金Natural Science Foundation of Chongqing(cstc2020jcyj-msxm X0123)Technology Research Foundation of Chongqing Educational Committee(KJQN202000528,KJQN201900539)。
文摘In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,with the help of a fixed point approach.We use Gronwall’s inequality on time scales,an abstract Growall’s lemma and a Picard operator as basic tools to develop our main results.To overcome some difficulties,we make a variety of assumptions.At the end an example is given to demonstrate the validity of our main theoretical results.
基金This work was supported by the Foshan Xianhu Laboratory of the Advanced Energy Science and Technology Guangdong Laboratory,China.
文摘The energy storage properties of (1-x)Bi_(0.5)Na_(0.5)TiO_(3-x)BaTiO_(3)(0≤x≤0.08)(BNT-BT)ceramics obtained via sol-gel method are determined from the polarization versus electric field(P-E)loops at various temperatures.The energy storage densities are observed to increase with increase in temperature and this may be attributed to the presence of antiferroelectric(AFE)phase at higher temperature(≥120℃).Obvious changes are observed in the saturation polarization(P_(s)) and remnant polarization(P_(r)) with increasing temperature.The maximum energy storage density of 0.6 J/cm^(3)is observed for x=0:06 in the AFE phase at 150℃for 90 kV/cm of applied electric field.BNT-BT can be a promising candidate for energy storage devices to be used in above-roomtemperature environment.
