The book "Differential equations with impulse influence", written by well-known scientists A. M. Samoilenko and N. A. Perestyuk, is an important and relevant work in the field of mathematical science. This edition will be an indispensable assistant both for students studying differential equations and for specialists working in related fields, such as physics, engineering and economics. The book focuses on differential equations that describe systems that are subject to impulse effects. These equations are widely used in various fields of science and technology, for example, in mechanics, biology, economics and many others. The authors elaborate on theoretical aspects as well as practical applications, making the book useful for both theorists and practitioners. The book begins with the basics, introducing the reader to the world of differential equations and their features. The authors explain what impulse effects are and how they affect the dynamics of systems. This allows the reader not only to understand the theory, but also to see how it is applied in practice. In the future, Samoilenko and Perestyuk move to more complex topics, such as the stability of solutions, numerical methods and analysis of the behavior of systems under different conditions. Each section is accompanied by examples and tasks, which contributes to the deep assimilation of the material. Who can like this book? First of all, it will be of interest to students and graduate students of mathematical and engineering specialties, as well as teachers who are looking for quality educational materials for their courses . In addition, researchers and practitioners working with dynamic systems modeling will find a lot of useful information in it. The book will also be useful to those interested in mathematical modeling in biology and ecology, since many examples and problems are associated with these areas. The themes raised in the book are diverse and multi-faceted. The authors emphasize the importance of understanding impulse effects in real systems, which allows the reader to realize how theoretical knowledge can be applied to solving practical problems. This makes the book not only a textbook, but also a source of inspiration for those who seek to use mathematics to solve pressing problems of our time. The writing style of Samoilenko and Perestyuk is clear and accessible. They skillfully balance theory and practice, making complex concepts understandable to a wide audience. This quality makes their work in demand and valuable in the academic environment. The book "Differential equations with impulse influence" is not their only work; the authors are also known for their other works, which cover various aspects of mathematical analysis and the theory of differential equations. If you are looking for a book that will not only expand your knowledge in the field of differential equations, but also help you master the application of this knowledge in real life, then “Differential equations with a pulse effect” will be an excellent choice. This work will not only enrich your theoretical knowledge, but also inspire new research and discoveries. Do not miss the opportunity to immerse yourself in the world of mathematical modeling and discover new horizons of science!