## Bulletin of KRAESC 2015 #1

#### Mathematics

##### ON THE STABILITY OF THE BOUNDARY VALUE PROBLEM FOR EVEN ORDER EQUATION

A.V. Yuldasheva

In this paper we consider ill-posed problem for one even-order equation. The stability of the problem is proved with the additional assumption.

#### Mathematical modelling

##### MATHEMATICAL MODELING OF THE LAW OF CLOUD DROPLET CHARGE CHANGE IN FRACTAL ENVIRONMENT

T.S. Kumykov, R.I. Parovik

The paper proposes a new mathematical model of cloud droplet charge change in storm clouds. The model takes into account the fractal properties of storm clouds, and the solution was obtained using the apparatus of fractional calculus.

##### MATHEMATICAL MODELING OF NONLOCAL OSCILLATORY DUFFING SYSTEM WITH FRACTAL FRICTION

R.I. Parovik

The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed depending on fractional parameters.

#### Physics

##### NONPOTENTIAL GEOMAGNETIC FIELD, SCHMIDT-BAUER CURRENTS AND ATMOSPHERIC ELECTRIC CURRENT

V.V. Kuznetsov

##### ROCK BUMP – THE REASON OF METHANE OUT BURST IN THE COAL MINE?

V.V. Kuznetsov

##### HIGH-FREQUENCY ACOUSTIC EMISSION EFFECT

Yu. V. Marapulets

##### SPECIAL ASPECTS OF CALIBRATION OF IONIZING RADIATION DETECTORS USED FOR SOIL RADON MONITORING

V.S. Yakovleva, P.M. Nagorskiy

##### THE DEVELOPMENT OF RADIATION MONITORING TECHNOLOGY FOR URBAN ENVIRONMENT

V.S. Yakovleva, P.M. Nagorskiy