A delay difference inequality was studied, and several results were obtained, which improve the known results. Then a typical integral inequality with two independent variables was studied, and some results were obtai...A delay difference inequality was studied, and several results were obtained, which improve the known results. Then a typical integral inequality with two independent variables was studied, and some results were obtained, which extend the known results.展开更多
Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equations div(｜Du｜m-2A（x）Du)+p（x）｜u｜m-2u=0, x∈ΩRn, where Ω is an exterior domain, m>1, and p（x） is an alternating func...Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equations div(｜Du｜m-2A（x）Du)+p（x）｜u｜m-2u=0, x∈ΩRn, where Ω is an exterior domain, m>1, and p（x） is an alternating function. The integral averaging technique is employed to establish our results.展开更多
A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for...A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are obtained.They include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications.展开更多
基金National Natural Science Foundation ofChina( No.1983 10 3 0 )
文摘A delay difference inequality was studied, and several results were obtained, which improve the known results. Then a typical integral inequality with two independent variables was studied, and some results were obtained, which extend the known results.
文摘Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equations div(｜Du｜m-2A（x）Du)+p（x）｜u｜m-2u=0, x∈ΩRn, where Ω is an exterior domain, m>1, and p（x） is an alternating function. The integral averaging technique is employed to establish our results.
文摘A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are obtained.They include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications.
