Збірник праць Інституту математики Національної академії наук України. 2014, 11 (5)

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Transactions of Institute of Mathematics, the NAS of Ukraine
2014. Issue 11 (5)

Змiст.
Elastic suspension of a given rigidity.
Method of finite element approximation for the investigation of aircraft wing divergence.
Synchronization of discrete dynamical systems by the sampling step.
Features of construction of a reduced-order observer for almost conservative dynamical systems.
Forced nonlinear sloshing in a parabolic reservoir.
Using a flying drone for monitoring the emission sources of harmful substances.
Integral representations for the hypergeometric function F8(4).
On the linerization of a class of systems of nonlinear difference equations in the vicinity of a singular point.
Topological conjugacy of piecewise linear unimodal images.
An approach to solving the singular integral equations with the negative index.
Features of creating a local positioning system to determine the location of an aircraft.
Unimodal cycles of continuous imaging of an interval.
Asymptotic two-phase soliton-like solutions of the Korteweg-de-Vries equation with varying coefficients and a small parameter of an odd power at the higher-order derivative.
Modal approach to a control problem.
Study of liquid sloshing in a hyperbolic reservoir.
On the Lagrange stability in the limited three-body problem.
An analytical expression of the optimal control for a system of the two linked and controlled almost conservative oscillators.
The existence of solutions of quasi-linear systems of differential equations of elliptic type with measurable coefficients.
Mathematical simulation of the influence of delay factors on the oscillations of non-ideal pendulum systems.

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