This study looks at determining the main trends in the application of microwaves on plants in agricultural production in the processing of grain material, it provides examples of their effectiveness and an overview of the use of microwaves on plants available on the Russian market. Additionally, the research studied the experience and developments of leading scientists in the field of microwave radiation. Analysis of the available sources provided information on the positive effect of microwave radiation in the processing of crops. The use of microwaves on plants during drying destroys pathogens and bacteria, in particular, microwave processing of red lentils reduces grey mould damage by up to 30%. Positive results are also noted in the microwave processing of other crops, providing an increase in germination capacity of up to 7% and yield growth of up to 6%. The microwave plant market in Russia is represented mainly by dryers, and the use of microwaves on plants combining several functions of drying, disinfection, and pre-sowing stimulation.

The article is devoted to the problems of the Earth’s climate change as an object of environmental protection and an object of international cooperation. In the implementation of environmental and legal support for climate preservation by the countries of the European Union and the Russian Federation, characteristic features are manifested, which are due to the similarity of specific tasks. The aim of the study is to analyze the prospects for the development of the institute of environmental monitoring associated with the dynamic implementation of the latest information and communication methods and systems in the implementation of mechanisms that prevent and stabilize changes in the Earth’s climate. The article analyzes the main program and legal documents of Denmark, Germany, France and Russia, their variability in determining special approaches to the study of climate change. Attempts to create an adequate system of convergence of national and international legal regulation in order to determine modern legal approaches to the problems of global warming have been studied and discussed in detail. Each of the represented countries has a national strategy for achieving carbon neutrality in the context of creating a circulating model of the modern economy. It is noted that for most of the topical issues, these strategies have common approaches: scientifically based methods of environmental monitoring, the introduction of innovative digital technologies and science-intensive information and communication methods and systems.

One of the major challenges facing every developed state in recent decades has been ensuring that the national economy is energy-based and moving towards a sustainable energy future. The geopolitical interests of the leading world countries are formed and corrected by the well-known consequences of the shortage of hydrocarbons, efforts to ensure their own energy security and environmental issues. Therefore, the development and implementation of the state-of-the-art biofuel production technologies has become a matter of preoccupation for many states. The level of environmental and legal support for innovative energy options rely inextricably on the natural energy endowment, the development of a research base, the political and economic interests of states in achieving energy independence, as well as a public demand for environmental preservation over their national territory and neighboring states. This article attempts to study the legal framework for the eco-efficient biotechnology development in the energy-fuel sector of Europe, the United States and Latin America to harmonize national legislation and regulate relations within the framework of international cooperation. Under the economy-wide assessments the authors reviewed biofuel output figures in these countries, the biofuel production and use supply ratio in national energy systems, energy companies’ activities in the area of research and applying of various types of biofuel to production. The article proved possible to identify new interesting developments in this area and reach the understanding on the necessity for further active efforts in identifying a common approach to the biofuel targets in contemporary energy system within the context of wide-ranging environmental challenges.

In this study, the authors substantiate the need for introducing environmentally sustainable management (as a measure of sustainable development) into the public administration system of a separate state using the example of Russia. For this, the authors analyzed the primary sources that establish the legal framework for sustainable development and sustainable management. The indicators of environmental pollution in dynamics were also studied, the results obtained were critically assessed from the standpoint of determining the causes of the ecological state. Identified internal threats to the formation of environmental sustainability, which generally hinder the achievement of the planned goals of sustainable development. In conclusion, measures are proposed to introduce environmental friendliness into the structure of public administration.

An example of non-trivial rearranged double Haar series that λ-converges to zero everywhere on the unit square, whenever λ < 2, is constructed.