Pecherytsia O. Bounded solutions of differential equations with piecewise constant operator coefficients

The dissertation is devoted to the study of questions related to the existence and unity of bounded on the entire real axis solutions of first-order linear differential equations with piecewise constant operator coefficients. It also explores some nonlinear analogs of such equations and addresses questions regarding the existence and unity of solutions on the entire real axis of second-order linear differential equations with piecewise-constant operator coefficients. The work consists of two abstracts (in Ukrainian and English), an introduction, four chapters divided into sections, a conclusion, a reference list, and appendices that include a list of publications by the researcher on the dissertation topic and information about the validation of the results. The introduction justifies the relevance of the topic, establishes the connection of the work with scientific programs, plans, and themes, defines the purpose and objectives, outlines the object, subject, and research methods. It highlights the scientific novelty and practical significance of the obtained results, characterizes the personal contribution of the researcher, provides a list of conferences and scientific seminars where the dissertation work underwent validation, and gives a brief overview of the work’s content.