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Ecology and Environmental Aspects of “Makmalzoloto” Gold Mining Area in Kyrgyzstan

Nazgül İMANBERDİYEVA

This investigation enlightens the original data on the ecological situation of Makmal Valley and neighboring villages Makmal and Chetbulak Toguz-Toro in “Makmalzoloto” gold mining area in Kyrgyzstan. The study was undertaken to put forward the possibilities for preservation of rich biodiversity and ecological state in these villages. The area is under pressure from the activities of gold extraction. Even today environmental pollution and high levels of radiation are observed. The extraction activity has seriously damaged and produced a negative impact on pastures, livestock, as well as biodive ...More

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Introduction to Linear Difference Equations

Anarkül URDALETOVA

One of the biggest problems of modern mathematics is, to a large extent, its isolation from the world around it. Extensive use of linear difference equations can make a great contribution to solving this problem. In the language of these equations, the problems of financial mathematics are beautifully presented. And as can be understood from the study of difference equations, this is by no means their only advantage. In particular, there is a direct connection between the theory of linear difference equations and the theory of linear ordinary differential equations. Therefore, we are convinced ...More

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Plant Diversity of Ala-Archa National Park in Kyrgyzstan with Emphasis on Its Economical Potential

Nazgül İMANBERDİYEVA | Zeki SEVEROĞLU | Gülbübü KURMANBEKOVA

The national parks are the most important tools in biodiversity conservation. The generally include remote and rugged areas possessing a low possibility for human use. They are of lower economic value. Currently the Republic of Kyrgyzstan possesses a total of eight national parks. These cover approximately 1.4 of national territory. One of these national parks is the Ala-Archa National Park. During the period covering the months from May to October, every weekend hundreds of visitors pay a visit to this oldest national park of the country established in 1976. The 25 km long park has a total ar ...More

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Potential Impacts of Climate Change on Plant Diversity of Sary-Chelek Biosphere Reserve in Kyrgyzstan

Nazgül İMANBERDİYEVA | Zeki SEVEROĞLU

The Sary-Chelek Nature Reserve established in 1959 with an area of 239 km2 and declared as a UNESCO-MAB Biosphere Reserve in 1978 is located on the southeast-facing slope of the northern Chatkal Range in central Jalalabad province. It is centered around the scenic Sary-Chelek Lake. The mountains immediately surrounding the lake abound in exceptionally diverse flora and fauna, what may be the widest variety found in the Tian Shan. The area is spread over varied ecosystems and habitats, which include the forests of spruce and juniper together with the forests of wild fruits and nuts and riparian ...More

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On the Solvability of the Synthesis Problem for Optimal Control Systems with Distributed Parameters

Elmira ABDILDAYEVA

The solvability of synthesis problem of external and boundary controls is investigated for optimization of oscillation process, described by partial differential equations with Fredholm integral operator. Functions of the external and boundary actions are nonlinearly with respect to control. An integro-differential equation is obtained in the specific type for Bellman functional. An algorithm is developed for constructing solutions to synthesis problem of external and boundary controls. Keywords: Generalized solution, Bellman functional, Frechet differential, Integro-differential equation, Fre ...More

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On the Solvability of Tracking Problem with Nonlinearly Distributed Control for the Oscillation Process

Elmira ABDILDAYEVA

In the paper we investigate the unique solvability of the tracking problem with the distributed optimal control for the elastic oscillations described by Fredholm integro-differential equations. The sufficient conditions are found for existence of a unique solution to the boundary value problem, also the class of functions of external influence for which the optimization problem has a solution. The algorithm was developed for constructing the complete solution of the tracking problem of nonlinear optimization.

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