On the recursive sequence Xn+1=A/xnp+B/xn−1q+C/xn−2s

On the Difference Equationxn+1=∑j=0kajfjStević1 2007Discrete Dynamics in Nature and Society0000View full textAdd to dashboardCite

“…Recently, there has been a great interest in studying the behavior of rational and nonlinear difference equations; see, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. One of the most intriguing properties of solutions of difference equations is their boundedness character.…”

“…One of the most intriguing properties of solutions of difference equations is their boundedness character. There are numerous papers devoted, among others, to this research area, see; for example, [1][2][3][4][5][6][9][10][11][12][13][14][15][16][17][18][19], and related references therein.…”

“…for j = 0,1,...,k. Our aim here is to investigate the boundedness character and global attractivity of positive solutions of (1.1), where a j > 0, j = 0,1,...,k, and f j : (0,∞) → (0,∞), j = 0,1,...,k, satisfy conditions (H 1 ) and (H 2 ). Some special cases of (1.1) has been investigated, for example, in [4,5,9,10,12] from which our motivation stems.…”