This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed. The book comprises three chapters. Chapter I and II consider classical linear and...
This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequal...
The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones. The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book should satisfy the growing interest in the problems...
The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practica...
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their appli...
The authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations. The numerous applications of the results discussed in the book should be of interest to mathematicians and to experts in other areas of science and technology.
The authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations. The numerous applicatio...
Discussing the impulsive differential equations with a small parameter, this work introduces the subject and covers: regularly perturbed impulsive differential equations and modifications of the method of the small parameter; and singularly perturbed differential equations.
Discussing the impulsive differential equations with a small parameter, this work introduces the subject and covers: regularly perturbed impulsive dif...
