we consider the third-order neutral functional differential equations with deviating arguments. A new theorem is presented that improves a number of results reported in the literature. Examples are included to illustr...we consider the third-order neutral functional differential equations with deviating arguments. A new theorem is presented that improves a number of results reported in the literature. Examples are included to illustrate new results.展开更多
Oscillation criteria are established for third-order neutral delay differential equations with deviating arguments. These criteria extend and generalize those results in the literature. Moreover, some illustrating exa...Oscillation criteria are established for third-order neutral delay differential equations with deviating arguments. These criteria extend and generalize those results in the literature. Moreover, some illustrating examples are also provided to show the importance of our results.展开更多
In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and c<sub>i</sub> are positive real numbers, and where the initial conditions...In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and c<sub>i</sub> are positive real numbers, and where the initial conditions are arbitrary positive real numbers.展开更多
This paper is concerned with asymptotic behavior of the solution of a new class of rational Difference Equations. We consider the local and global stability of the solution. Moreover we investigate the new periodic ch...This paper is concerned with asymptotic behavior of the solution of a new class of rational Difference Equations. We consider the local and global stability of the solution. Moreover we investigate the new periodic character (periodic two) of solutions of these equations. Finally, we give some interesting counter examples in order to verify our strong results.展开更多
The authors investigate the global behavior of the solutions of the difference equation xn＋1=axn-1xn-k/bxn-p＋cxn-q,n=0,1,…where the initial conditions x-r, x-r＋1, x-r＋2,… , x0 are arbitrary positive real numbers...The authors investigate the global behavior of the solutions of the difference equation xn＋1=axn-1xn-k/bxn-p＋cxn-q,n=0,1,…where the initial conditions x-r, x-r＋1, x-r＋2,… , x0 are arbitrary positive real numbers, r = max{l, k,p, q） is a nonnegative integer and a, b, c are positive constants. Some special cases of this equation are also studied in this paper.展开更多
文摘we consider the third-order neutral functional differential equations with deviating arguments. A new theorem is presented that improves a number of results reported in the literature. Examples are included to illustrate new results.
文摘Oscillation criteria are established for third-order neutral delay differential equations with deviating arguments. These criteria extend and generalize those results in the literature. Moreover, some illustrating examples are also provided to show the importance of our results.
文摘In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and c<sub>i</sub> are positive real numbers, and where the initial conditions are arbitrary positive real numbers.
文摘This paper is concerned with asymptotic behavior of the solution of a new class of rational Difference Equations. We consider the local and global stability of the solution. Moreover we investigate the new periodic character (periodic two) of solutions of these equations. Finally, we give some interesting counter examples in order to verify our strong results.
文摘The authors investigate the global behavior of the solutions of the difference equation xn＋1=axn-1xn-k/bxn-p＋cxn-q,n=0,1,…where the initial conditions x-r, x-r＋1, x-r＋2,… , x0 are arbitrary positive real numbers, r = max{l, k,p, q） is a nonnegative integer and a, b, c are positive constants. Some special cases of this equation are also studied in this paper.
