The third and fourth order linear difference equations near periodic critical states: sharp results in oscillation theory

Existence and Nonexistence of Solutions for Fourth-Order Nonlinear Difference Boundary Value Problems via Variational Methods

“…Equations similar in structure to (3) have been studied by many researchers using a variety of methods; see, for example, [2][3][4][5][6][7][8][9][10][11][12]. It is well-known that the study of nonlinear difference equations [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] has long been an important one as a result of the fact that they arise in numerical solutions of both ordinary and partial differential equations as well as in applications to different areas of applied mathematics and physics.…”

“…Domshlak and Matakaev [17] in 2001 investigated the oscillation properties of the delay difference equation…”