Dr. Ec. Pavel Konyukhovsky

Ph.D. Alexandra Malova

Tunc Kilincel

Comparative analysis of mobile telecommunication sphere in Russian Federation and Turkish Republic using differential equations

In the present day the conditions of globalization on major value gets not only research and the analysis of economy of the separate countries, but also the joint comparative review of an economic situation in the different countries, and also research of separate segments of economy of the various countries with respect to their comparison for revealing of substantial universal economic tendencies of development. Now the majority of domestic comparative researches in the area of economy are devoted to comparison of experience of the western countries to the Russian realities, and also development of recommendations for updating of development of economy of the Russian Federation on the basis of experience of the European Union countries and the USA. Revealing the strengths of an economy in the developed countries and transposition of their positive experience on strategic planning of economy in these countries, certainly, this is the major component of formation. The given process is the implementation of the theory for a benchmarking in management of developing country economy. Revealing of these strengths for competitors while using positive experience of functioning of competitors, allows us to avoid some errors and to pass certain stages to do faster development. On the other hand, it is necessary to remember that the benchmarking assumes an alignment on more succeeding competitor who is comparable on parameters of functioning with investigated object. In this case, it is necessary to notice that direct comparison of economies in the Russian Federation and in the European countries or even in USA which is absolutely legal. Distinction in historical and in cultural heritage, and also that is more important to notify that, distinctions in economic realities of functioning don't allow such comparisons to be adequate.

In such situation, it is rather interesting to spend comparison of some segments of economy in the Russian Federation with the country, on the one hand, in an economic context comparable with Russia, and on the other hand, being already long time the trade and economic partner of the Russian Federation. In this paper comparative economic aspects of functioning of some segments of the Russian Federation and Republic Turkey will be considered.

Close trade and economic relations of the Russian Federation and Turkish Republic allow researcher to make a conclusion about an importance of joint research of economy of both countries for revealing of the future tendencies of development of each country and, as consequence, forecasting of prospects of the further cooperation.

In the field of the comparative analysis of an economic situation of both countries a lot of researches are spent; however rather not enough studied is the sphere of services of the Russian Federation and Turkey, namely sphere of telecommunication services and mobile communication services.

The markets of mobile communication services in Russia and in Turkey are comparable. The volume of the telecommunication market of Turkey in 2010 had been reached to 23.8 bln. dollars whereas in Russia in 2010 the volume of the telecommunications market had been 42,5 bln. dollars according to magazine CNews that practically twice exceeds a similar indicator for Turkey. However the ARPU (Average Revenue per User) indicator demonstrates similarity in telecommunication branch of the given countries, ARPU in the Russian Federation averages 29 dollars, and for Turkey on the average 32 dollars per person.

Similarity in branch of mobile communication services between two countries can be noticed and in the analysis of structure of the market of mobile communication services. The market of mobile communication services represents an oligopolistic completion between the main companies: they are "MTS", "MegaFone", "Beeline" and "Tele2". These companies are the leaders of the market while other companies present themselves as minority in the market "form" as united fourth player.

In Turkish Republic, the structure of oligopolistic competition in the mobile communication the market services also needed to be looked clearly through. The basic main competitors of this market are the «Türk Telekom» (its division of mobile communication «Avea»), "Türkcell" and «Vodafone Turkey» companies. Like as in Russian Federation relatively small companies “form” one more player of the market.

In order to do further research, the differential model of dynamics of activity of the companies-operators for the services of the mobile communication market in the Russian Federation and in the Turkish Republic being used progressively. The model is based on interference of the volume of subscribers and revenue of the company-operator. It also takes into account such parameters as;

· First, the average level of expenses of one subscriber on mobile communication services,

· Second outflow of subscribers (subscriber’s churn)

· Finally, expenses of the mobile operator on attraction of subscribers.

From the mathematical point of view the given model is based, on the one hand, on the recurrent equation, that connected subscriber's base of the company during the various periods of time. On the other hand, the model assumes step growth of user's base of the company-provider that is approximated by anti-tangent functions type where the argument is a volume of expenses of the mobile operator on attraction of new subscribers in the company.

The system of the equations which is concerning subscriber’s volume of the company became result of use of the given model. These equations allow to calculate subscriber’s volume for the future period under some initial data about quantity of subscribers of the mobile operator.

Also the great attention is paid to comparison of the coefficients of differential equations of the models for Russian and Turkish data.