Research on the development of methods for identifying signs of hidden manipulation (destructive information and psychological impact) in text messages that are published on Internet sites and distributed among users of social networks is relevant. One of the main problems in the development of these methods is the difficulty of formalizing the process of identifying signs of manipulation in text messages of social network agents. To do this, based on morphological synthesis, it is necessary to determine relevant indicators for analyzing text messages and criteria for making a decision about the presence of signs of manipulation in text messages. Based on morphological synthesis, a method for determining manipulation indicators in text messages was developed, taking into account the achievements of modern technologies of intelligent content analysis of text messages, machine learning methods, fuzzy logic and computational linguistics, which made it possible to reasonably determine a group of indicators for evaluating text messages for signs of manipulation. The stages of the method include evaluating the text message at the level of perception by the indicator of text readability, at the phonetic level by the indicator of emotional impact on the subconscious, at the graphic level by the indicator of text marking intensity, and calculating the integral indicator for making a decision about the presence of manipulation in the text message. Based on the proposed method, specialized software was developed that provided 13 % greater accuracy in evaluating messages for manipulative impact compared to the known method of expert evaluations, which reduced the influence of the subjective factor on the evaluation result

The paper deals with the analysis of the banking system of Ukraine. It is shown that for Ukraine the frequency and depth of crisis phenomena in the banking sector are exacer-bated by the raw material orientation of the economy, underdeveloped domestic market and the circulation of foreign currency (dollarization of the economy). It should be noted that in the pre-crisis during 2006-2007, excessive mortgage lending created a "bubble" in the real estate market, which, comparing its devastating effects, corresponded to this phenomenon in the real estate market in the United States. Although the crisis of 2008-2009 demonstrated the vulnerability of the Ukrainian banking system to numerous eco-nomic and political upheavals, no significant changes in banking supervision took place to minimize systemic risks. Restoration of the banking system of Ukraine in 2015-2016 is generally in line with post-crisis trends to streamline the banking system and increase its efficiency in the world. At the same time, the weakness of the institutional environ-ment makes it impossible to use both administrative tools and state development banks to increase productive lending in Ukraine. On the other hand, commercial banks will use refinancing loans instead of private-sector savings to lend. In this case, the probability of the need for financial support from banks increases, which will lead to a significant increase in public debt. Moreover, a system of vector autoregression models has been developed to research the impact of crisis periods on the performance of commercial banks in Ukraine. The simulation results (mainly the analysis of impulse response functions) allow concluding that interbank lending in post-crisis conditions recovers relatively rapidly (with a lag of two years). Lending to non-financial corporations and non-residents showed a decline and recovery only within four years after the crisis. Lending to the general government sector is growing every year, but at the same time loans to other resident sectors are declining. In addition, during the year after the crisis, the volume of deposits in the banking system is demonstrating a decrease. Other variables do not show any response to the crisis.

We study global resolvability for parabolic inclusions with an upper semicontinuous multi-valued right-hand part of more than linear growth. Theorems about the existence of global mild solutions in different phase spaces are proved. Limit sets for the obtained global solutions in the corresponding phase spaces are investigated.

In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system.