The principle aim of this paper is to explore the existence of periodic solution of neural networks model with neutral delay. Sufficient and realistic conditions are obtained by means of an abstract continuous theorem...The principle aim of this paper is to explore the existence of periodic solution of neural networks model with neutral delay. Sufficient and realistic conditions are obtained by means of an abstract continuous theorem of k-set contractive operator and some analysis technique.展开更多
By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following n...By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following neutral functional differential equation展开更多
The following question raised by P. C. Hammer in 1960 is answered: Let M be the set of all positive integers, ft the closure function under multiplication defined on the power set of M and c the complementation functi...The following question raised by P. C. Hammer in 1960 is answered: Let M be the set of all positive integers, ft the closure function under multiplication defined on the power set of M and c the complementation function. Do h and c generate exactly 14 distinct functions by composition in any order? Different types of sets which yield 14 distinct sets in the set of positive intergers will also be found.展开更多
In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nono...In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nonoscillatory solutions, and give some error estimates between the approximate solutions and the nonoscillatory solutions. And finally we give an example to illustrate our results.展开更多
文摘The principle aim of this paper is to explore the existence of periodic solution of neural networks model with neutral delay. Sufficient and realistic conditions are obtained by means of an abstract continuous theorem of k-set contractive operator and some analysis technique.
基金Supported by the National Natural Science Foundation of China (No.19871005).
文摘By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following neutral functional differential equation
基金This research s partially supported by UGC(UK)grant No.221600370.
文摘The following question raised by P. C. Hammer in 1960 is answered: Let M be the set of all positive integers, ft the closure function under multiplication defined on the power set of M and c the complementation function. Do h and c generate exactly 14 distinct functions by composition in any order? Different types of sets which yield 14 distinct sets in the set of positive intergers will also be found.
基金supported by the National Natural Science Foundation of China(No.10771001)Doctoral Fund of Ministry of Education of China(No.20093401110001)Nature Science Foundation of Anhui Province(No.KJ2013B276)
文摘In this paper, we establish a few existence results of nonoscillatory solutions to second-order nonlinear neutral delay differential equations, construct several Manntype iterative approximation schemes for these nonoscillatory solutions, and give some error estimates between the approximate solutions and the nonoscillatory solutions. And finally we give an example to illustrate our results.
