The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators Lp-multipliers and UMD-s...The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators Lp-multipliers and UMD-spaces.展开更多
Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [...Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [11].We remove some assumptions that are required for the related results in the previous papers,thus our results generalize and improve many known conclusions.展开更多
In this paper we investigate the properties of the solutions of a class of second order neutral differential inequalities with distributed type deviating arguments . We apply the properties on the inequalities to obta...In this paper we investigate the properties of the solutions of a class of second order neutral differential inequalities with distributed type deviating arguments . We apply the properties on the inequalities to obtain some new criteria for all solutions of certain neutral hyperbolic partial functions differential equations to be oscillatory.展开更多
Recently, Kreith, Kusano and Yoshida have studied the oscillation property of the hyperbolic equation u<sub>11</sub>-△u+c（t,x,u）=f（t,x）, （t,x）∈R<sub>+</sub>×Ωwith boundary conditi...Recently, Kreith, Kusano and Yoshida have studied the oscillation property of the hyperbolic equation u<sub>11</sub>-△u+c（t,x,u）=f（t,x）, （t,x）∈R<sub>+</sub>×Ωwith boundary condition （?）u/（?）n=g（t,x）, （t, x）∈R<sub>+</sub>×（?）Ω,and obtained some sufficient criterions for solution oscillation. In this note, we shall discuss the oscillation properties of solutions for a class of hyperbolic functional differential展开更多
文摘The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators Lp-multipliers and UMD-spaces.
基金supported by the National Natural Science Foundation of China (10771118)the Fund of Subject for Doctor of Ministry of Education (20103705110003)the Natural Science Foundations of Shandong Province (ZR2009AM011 and ZR2009AL015)
文摘Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [11].We remove some assumptions that are required for the related results in the previous papers,thus our results generalize and improve many known conclusions.
文摘In this paper we investigate the properties of the solutions of a class of second order neutral differential inequalities with distributed type deviating arguments . We apply the properties on the inequalities to obtain some new criteria for all solutions of certain neutral hyperbolic partial functions differential equations to be oscillatory.
文摘Recently, Kreith, Kusano and Yoshida have studied the oscillation property of the hyperbolic equation u<sub>11</sub>-△u+c（t,x,u）=f（t,x）, （t,x）∈R<sub>+</sub>×Ωwith boundary condition （?）u/（?）n=g（t,x）, （t, x）∈R<sub>+</sub>×（?）Ω,and obtained some sufficient criterions for solution oscillation. In this note, we shall discuss the oscillation properties of solutions for a class of hyperbolic functional differential
