Approximation of differential problems with singularities and time discontinuities

On four types of solutions of a second-order difference equation

“…Note that an autonomous case of (2.1) was studied in [16]. We also mention also some recent works investigating the solvability of other secondorder discrete boundary value problems, for example [1], [2], [7], [11], [15], [19], [20], [22].…”

Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics

“…Note that an autonomous case of (2.1) was studied in [9]. We mention also some recent papers investigating the solvability of other second-order discrete boundary value problems, for example [10][11][12][13][14][15][16].…”

Strictly Increasing Solutions of Nonautonomous Difference Equations Arising in Hydrodynamics

“…We would like to point out that recently there has been a huge interest in studying the existence of monotonous and nontrivial solutions of nonlinear difference equations. For papers during last three years see, for example, [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] . A lot of other interesting references can be found therein.…”