Periodic boundary value problems of second-order impulsive differential equations

Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations

“…Impulsive and periodic boundary value problems have been studied extensively in the literature. There have been many approaches to study periodic solutions of differential equations, such as the method of lower and upper solutions, fixed point theory, and coincidence degree theory (see [7][8][9][10]). However, the study of solutions for impulsive differential equations using variational method has received considerably less attention (see, [11][12][13][14][15][16][17][18]).…”

Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems

“…On the Laplacian impulsive differential equations boundary value problems, there are many results see [1][2][3][4][5] . Because of the nonlinearity of p-Laplacian, the results about p-Laplacian impulsive differential equations boundary value problems are rare see 6 .…”

Existence of Solutions for Weighted p(r)-Laplacian Impulsive Integro-Differential System Periodic-Like Boundary Value Problems

“…Such equations arise in many applications such as spacecraft control, impact mechanics, chemical engineering and inspection process in operations research see 21-23 and the references therein . On the Laplacian impulsive differential equations boundary value problems, there are many papers see [24][25][26][27] . The methods includ subsupersolution method, fixed point theorem, monotone iterative method, and coincidence degree, and so forth.…”