Abstracts: The paper examines the features of initial public offering (IPO) of Ukrainian companies on the stock market. Identified the main positive and negative aspects of the use of IPO of Ukrainian companies. The dynamics of development of Ukrainian market and perspectives of its development.

Keywords: initial public offering, stock market, stock exchange, stocks.

Annotation. Research results of studying species composition of entomophage and acariphage fauna and its trophic links with major pests of industrial apple plantings in conditions of the Right-Bank Forest-Steppe of Ukraine are shown. It is found that in agrocenosis of an apple orchard entomophages and acariphages are the class of Arachnids (5,3%) and class of Insects (94,7%). 38 species of beneficial arthropods are found that by systematic division belong to varieties: Hymenoptera (52,6%); Coleoptera (15,8%); Diptera (10,5%), Hemiptera (7,9%); Neuroptera (5,3%); Aсаrina (5,3%) and Mecoptera (2,6%). Saving useful entomophage and acariphage fauna which is based on the determination of species composition, adjustment, population dynamics, trophic links and peculiarities of biology is the basis for environmentally-safe protection systems of an orchard.

Key words: entomophages, acariphages, phytophages, industrial apple plantings.

Summary. Regenerative medicine faced scientific, methodological and ethical barriers in therapeutic treatment of human CNS diseases for decades. First of all the barriers limited the development of stem cell based transplantation therapeutic approaches. In 2006 the breakthrough study of Yamanaka and colleagues encouraged search for effective means to convert differentiated somatic cells of mammals into targeted cell types, including neurons. Small molecules cocktails were found to enable reprogramming of somatic cells with and without ectopic expression of transcriptional factors and enhance reprogramming efficiency. Here we offer a review of the latest studies reporting induction of neurons with small molecules.      

Key words: reprogramming of somatic cells, reprogramming with small molecules, chemically induced neurons.

Summary: The article describes the structure of Spanish archival work and the major national resources of its archival heritage. It was dissected the specific character of Spanish archival experience, the history and current state of archival institutions in Spain. It was investigated the methodological support, data structure, the state of information and documentary composition of the main state archives in Spain.

Keywords: Spanish archival science, the documentary resources of archival institutions, electronic resources of archival institutions, the state archival institutions in Spain.

Аннотация: Цель данной работы - рассмотреть алгоритм расчета балки на основе математической модели с учетом физической нелинейности.

Ключевые слова: изгиб, физическая нелинейность, балка.

Abstract. Studied the theoretical questions of formation of creative abilities of preschoolers in gaming activities. Creativity and its development helps the student to improve personality and achieve success in various spheres of activity.

Key words: creativity, preschool, creativity, play, abilities.

Summary. The article presents the conceptual framework of diagnostics of corruption risks in activity of state enterprise with the aim of solving problems of legal regulation in the sphere of corruption prevention and counteraction in the activities of Ukrainian enterprises within the framework of economy and management of an enterprises and law. Based on the analysis of legislative and regulatory legal acts of Ukraine and documents of legal practice presented the key applied aspects of legal liability of enterprise for Ukrainian anti-corruption law violation in the context of improving existing and developing new (modern) of diagnostic systems activities (economic diagnostics) of enterprises.

Key words: enterprise, corruption risks, economic diagnostics, legal regulation in the sphere of corruption prevention and counteraction, legal liability.

Summary: In the article the authors analyses key linguistic categories such as style, the text  in connection with problems of the translation technical text.

Key words: communicative function, text linguistics, translation of the scientific and technical text.

Summary. The investigations pertain to the field of applied mechanics and address the effect of acoustic pressure waves on underwater vehicle during its start. The differential equation of motion of an underwater object is given in a simplified form. We analyze the case of forced motion of an underwater vehicle of arbitrary shape during its translational and angular motion in three axes.

Keywords: moving, liquid, acoustic pressure wave, underwater vehicle.

Summary. Nature of origin of additional errors opens up at the pickoffs of gyrostabilized platform in the acoustic fields. The analytical ground of degree of influence of penetrable acoustic radiation is built on resiliently deformed consisting of podvesa of gyroscope of the mode of the operating use of aircrafts.

Keywords: float gyroscope, wave coincidence, shpangout, wavefront.

Abstract. A distinctive feature of the current stage of development is the fact that science is a synthesis of various disciplines in various fields of knowledge, and, in fact, it forms a holistic picture of the world, holistic world outlook, which is gradually replacing all the old paradigms. The article considers the issues of the correlation of human nature and culture in its evolution, biological and social development of individuals and society. In this work the cultural evolution is considered in context of energy and information aspect, that allows exploring human culture as a process that forwards human development and evolution. The study has confirmed the leading role of the human environment in its evolution, the impact on the biological structure of a man, genetics, philosophy, culture, and the ability to change the world around. Conclusions concerning culture as the driving force that will contribute to the transformation of the world outlook of a man and society, the formation of values, ideas and priorities are drawn. It is concluded that culture should be the driving force that will contribute to the transformation of the world outlook of a man and society, the formation of values, ideas and priorities.

Key words: man, cultural, evolution, epigenetics, genetic mechanism, energy, development, process, environment.

Summary. Тhe article is devoted to the features of electronic trading as a specific type of activity. The types of entrepreneurial activity in the Internet are marked. The article analyzes the situation of e-trading in Ukraine. Advantages and problems of development of electronic commerce are distinguished.

Key words: е-commerce, e-banking, e-business, e-trading.

Summary. We propose to apply the two-stage cluster approach for the investigation of the dynamics in emissions of the most common pollutants into the atmosphere in Lviv region. The mathematical model was described. The implementation of the proposed approach was performed in the Matlab 7.10.0 environment and the results were presented.

Кеу words: clustering, k-means algorithm, Kohonen’s self-organizing maps, the atmosphere air, emissions of pollutants.

Annotation. This article contains information about symmetrization of amplitude quantity of gravitational waves, which were registered by LIGO and about combined GW150914, GW151226 masses got by an experimental way, with index of the Universe evolutionary degree got by the theoretical way.                

Key words: The Universe evolutionary degree (UED), amplitude of gravitational waves (AGW), parametric criterions (PC). 

Summary: The author's approach to the assessment of the financial position of banks to identify crises and threats. An efficient financial instruments of crisis management of banks are offered.

Keywords: crisis, crisis management, finance, efficiency, risk.

Summary: In the article the authors analyze the etymology of words, revealing the primary conceptual characteristics of the concept.

Key words: concept, etymology, conceptual  characteristics.

Summary: In this article the comparative analysis of the level of development of Big Data technologies is provided in the sphere of insurance in the U.S. and in Russia, successful practices of use of innovative technologies of the U.S. are marked.  Russia can assimilate these practices for development of the insurance market.

Key words: Big Data technologies, insurance, the U.S., Russia.

Summary: The article investigates different approaches of procedural law mavens to understanding of the essence of such concepts as «burden of proof» and «duty of proving» in civil judicial procedure, as well as the author made the analysis of existing approaches to understanding of these terms in regard to their conformity with the civil procedural legislation of Ukraine and court practice.

Key words: burden of proof, duty of proving, parties, civil proceeding, civil litigation.

Abstract. Foreign investment as an important factor of the countries' international economic development has been considered in the article. The condition of foreign direct investment (FDI) and changes in national investment policies in the world and Ukraine for 2001-2016 years has been analyzed. The main advantages achieved by attracting foreign direct investments have been determined. Further research questions in the area of foreign investment are to improve the legislative framework and a mechanism of risk insurance for foreign investors.

Keywords: foreign investment, foreign direct investment (FDI), investment climate, economics, economic growth, development, foreign trade activity.

Summary: The article is dedicated to the research of biotechnical systems. The selected method of study takes into consideration in what extend the viewed bio objects being objectively evaluated. It is proposed to use optimal control method for this purpose.  Once the parameters of biotechnical system are determined, the most effective control is being ensured which maximizes optimization criteria. Depending on the nature of admissible multitude the problems of mathematical programming are being solved. The results of findings are being analysed.

Keywords: bio-objects; biotechnical system; optimal system; optimal control.