The paper is devoted to the finding of the coefficient of one nonlinear wave equation in the mixed problem. The considered problem is reduced to the optimal control problem with proper functional. Differentiability of functional is proved and the necessary optimality conditions are derived in the form of the variational inequality. Existence of the optimal control is proved.

The poetics of the Sanskrit ornate epic ( mahākāvya), recognized as the most prestigious genre of Sanskrit kāvya literature, significantly rely on literary devices creating the sense of grandeur. The aim of this study is investigate the notion of atiśaya discussed by early works on Sanskrit literary theory and to identify it as a focal term within a discourse explicating the poetics of grandeur characteristic of mahākāvya genre. The here introduced distinction between atiśaya and hyperbole enables to capture the specificity of literary grandeur in mahākāvya compositions and elucidates the broader matter of ‘excess’ in the Sanskrit literature.

The aim of this article is an attempt to analyse the world-famous documentary film entitled The Parade (Polish title Defilada). The film has a unique narrative structure, as it belongs to the performing arts, and makes use of hyperbole which represents one of rhetorical tropes. Thus, the narration of the film is characterised by a specific rhetorical order which follows the rules of composing a text about art, culture and other phenomena. The result is often art itself. At the level of creative intention, Andrzej Fidyks’s films constitute spectacles which have to be appealing enough to attract the attention of a contemporary viewer. Thus, spectacularity of this film is not only a feature directly related to audiovisual art. It constitutes an aesthetic value as well, and the spectacle appears as a parade in honour of the country’s leader. Research methods include two types of text analysis, i.e. the rhetorical analysis, and the analysis based on film studies. The neo-rhetorical (i.e., argumentative) approach to the cinematographic text is visible in studying The Parade as a documentary which was created under conditions of full control over the director, together with lack of access to information. Perversity is a deliberate argumentative strategy, as Fidyk uses it in order to explain to the viewers the reality of the visited country.

In this paper, effects of non-Fourier thermal wave interactions in a thin film have been investigated. The non-Fourier, hyperbolic heat conduction equation is solved, using finite difference method with an implicit scheme. Calculations have been carried out for three geometrical configurations with various film thicknesses. The boundary condition of a symmetrical temperature step-change on both sides has been used. Time history for the temperature distribution for each investigated case is presented. Processes of thermal wave propagation, temperature peak build-up and reverse wave front creation have been described. It has been shown that (i) significant temperature overshoot can appear in the film subjected to symmetric thermal load (which can be potentially dangerous for reallife application), and (ii) effect of temperature amplification decreases with increased film thickness.

Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in theNeumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.

The aim of the study was to develop a practical approach to parametric shaping of spatial steel rod structures formed based on a hyperbolic paraboloid. This design approach was realized by application of designing tools working in environment of Rhinoceros 3D, that is its plug-in Grasshopper for geometric modelling and Karamba 3D for structural analysis. The goal of this research was to elaborate an universal scripts in order to create rod structures‘ models of various forms and grid patterns, as well as evaluating their structural behaviour dependently on various boundary conditions. The optimisation criterion was the minimum mass and deflection. Several proposals of coverings by means of single layer grid structures were presented and analysed to choose the best solution. The rod structures generated based on a hyperbolic paraboloid turned out to be structures with good static properties, so may be an interesting proposals to cover large areas.