Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

“…The differential equations with impulse perturbations lie in a special important position in the theory of differential equations. Among these theories, integral inequality method is an important tool to investigate the qualitative characteristics of solutions of different kinds of equations such as difference equations, differential equations, impulsive differential equations, and partial differential equations (see [1][2][3][4][5][6][7][8][9][10][11] for details). For some summary papers, the readers are refereed to [11][12][13][14][15][16][17][18].…”

Some Generalized Gronwall-Bellman Type Impulsive Integral Inequalities and Their Applications

“…Along the development of the theory of impulsive differential systems, more and more attention is paid to generalizations of Gronwall-Bellman's results for discontinuous functions (that is, impulsive integral inequalities) and their applications (see [17][18][19][20][21][22][23][24][25]). Among them, one of the important things is that Samoilenko and Perestyuk [17]…”

About some new generalizations of Bellman–Bihari results for integro-functional inequalities with discontinuous functions and applications

“…Our results are based on the publications [16,2,17,1,[18][19][20][21][22][23][24][25][26][27][28]3,29,[4][5][6][7][8][9][10][11][12][13][31][32][33][34][35][36][37][38]14,15,[39][40][41].…”