Sign-Changing Solutions for Discrete Second-Order Periodic Boundary Value Problems

Multiple solutions of fourth-order difference equations with different boundary conditions

“…To the best of our knowledge, there are few studies on sign-changing solutions of fourthorder difference equations. In 2015, He, Zhou et al [22] obtained the existence of signchanging solutions for the following periodic boundary value problem:…”

“…by applying invariant sets of descending flow. Furthermore, [23][24][25] deal with other second-order nonlinear boundary value problems and achieve sign-changing solutions in a similar way to [22]. Motivated by the above reasons, the aims of this paper are as follows.…”

Existence of Solutions to Boundary Value Problems for a Fourth-Order Difference Equation

“…Difference equations are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Many authors were interested in difference equations and obtained some significant results [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Nonexistence and Existence Results for a Fourth-Order p-Laplacian Discrete Neumann Boundary Value Problem

“…Such discrete models are often investigated in various fields of science and technology such as computer science, economics, neural network, ecology, cybernetics, biological systems, optimal control and population dynamics. These studies cover many of the branches of difference equations, such as stability, attractivity, periodicity, oscillation and boundary value problem, see [9,[22][23][24]28,33,34,[47][48][49] and the references therein.…”

“…We also refer to [47,48] for the discrete boundary value problems. Compared to firstorder or second-order difference equations, the study of higher-order equations, and in particular, fourth-order equations, has received considerably less attention (see, for example, [10][11][12][13][14]17,18,[28][29][30][31]34,38,43,45] and the references contained therein). Yan and Liu [45] and Thandapani and Arockiasamy [43] studied the following fourthorder difference equation of form,…”