There have been many works on alkali and earth alkali-metal crown complexes. Due to the large solvation energy of metal ions, coupled with the inherent poor basic character of oxygen in —CH2—O—CH2— unit, only very...There have been many works on alkali and earth alkali-metal crown complexes. Due to the large solvation energy of metal ions, coupled with the inherent poor basic character of oxygen in —CH2—O—CH2— unit, only very little is known about transition metal complexes of crown ether. From the viewpoint of the model system for Cu（Ⅱ） site in metalloproteins, the study of copper crown complexes has drawn much interest. The conclusion that there was no reaction between the Cu（Ⅱ） and （B15-C-5） in methanol-H2O solvent was drawn from the study of thermo-effeet. By using展开更多
Let Q 2 = [0, 1]2 be the unit square in two dimension Euclidean space ?2. We study the L p boundedness properties of the oscillatory integral operators T α,β defined on the set S(?3) of Schwartz test functions f by ...Let Q 2 = [0, 1]2 be the unit square in two dimension Euclidean space ?2. We study the L p boundedness properties of the oscillatory integral operators T α,β defined on the set S(?3) of Schwartz test functions f by $$ \mathcal{T}_{\alpha ,\beta } f(x,y,z) = \int_{Q^2 } {f(x - t,y - s,z - t^k s^j )e^{ - it^{ - \beta _1 } s^{ - \beta 2} } t^{ - 1 - \alpha _1 } s^{ - 1 - \alpha _2 } dtds} , $$ where β1 > α1 ? 0, β2 > α2 ? 0 and (k, j) ∈ ?2. As applications, we obtain some L p boundedness results of rough singular integral operators on the product spaces.展开更多
Abstract In this paper,the existence of periodic solution for the third order nonlinear ordinary differential equation of the form x…+f()+g()+h(x)=p(t) is considered,where f,g,h and p are the continuous f...Abstract In this paper,the existence of periodic solution for the third order nonlinear ordinary differential equation of the form x…+f()+g()+h(x)=p(t) is considered,where f,g,h and p are the continuous functions,and p(t+T)=p(t). By using the Leray Schauder degree method,some sufficient conditions to guarantee the existence of T periodic solution for the equation are obtained.Some previous results are extended and improved.展开更多
文摘There have been many works on alkali and earth alkali-metal crown complexes. Due to the large solvation energy of metal ions, coupled with the inherent poor basic character of oxygen in —CH2—O—CH2— unit, only very little is known about transition metal complexes of crown ether. From the viewpoint of the model system for Cu（Ⅱ） site in metalloproteins, the study of copper crown complexes has drawn much interest. The conclusion that there was no reaction between the Cu（Ⅱ） and （B15-C-5） in methanol-H2O solvent was drawn from the study of thermo-effeet. By using
基金the National Natural Science Foundation of China (Grant Nos. 10571122, 10371046)the Natural Science Foundation of Fujian Province of China (Grant No. Z0511004)
文摘Let Q 2 = [0, 1]2 be the unit square in two dimension Euclidean space ?2. We study the L p boundedness properties of the oscillatory integral operators T α,β defined on the set S(?3) of Schwartz test functions f by $$ \mathcal{T}_{\alpha ,\beta } f(x,y,z) = \int_{Q^2 } {f(x - t,y - s,z - t^k s^j )e^{ - it^{ - \beta _1 } s^{ - \beta 2} } t^{ - 1 - \alpha _1 } s^{ - 1 - \alpha _2 } dtds} , $$ where β1 > α1 ? 0, β2 > α2 ? 0 and (k, j) ∈ ?2. As applications, we obtain some L p boundedness results of rough singular integral operators on the product spaces.
文摘Abstract In this paper,the existence of periodic solution for the third order nonlinear ordinary differential equation of the form x…+f()+g()+h(x)=p(t) is considered,where f,g,h and p are the continuous functions,and p(t+T)=p(t). By using the Leray Schauder degree method,some sufficient conditions to guarantee the existence of T periodic solution for the equation are obtained.Some previous results are extended and improved.
