New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type

We propose four new convolutions exhibiting convenient factorization properties associated with two finite interval integral transformations of Fourier-type together with their norm inequalities. Moreover, we study the solvability of a class of integral equations of Wiener-Hopf plus Hankel type (on finite intervals) with the help of the factorization identities of such convolutions. Fourier-type series are used to produce the solution formula of such equations, and a Shannon-type sampling formula is also obtained.     

Mechanical Properties of a Basalt-Fiber-Reinforced Plastic Rod Used in Composite High-Voltage Wires in Torsion and Three-Point Bending

Mechanics of Composite Materials - Results of experimental investigations into a unidirectional composite of basalt fibers and epoxy resin used as part of high-voltage electric wires are presented....     

Formation of the Shock Pressure Regime in the Form of a Traveling Wave in Nematic Twisted Cells

Physics of the Solid State - The paper presents a numerical study, within a nonlinear generalization of the classical Ericksen–Leslie theory, of a new nonlinear mechanism for the formation of...     

Temporal Instability of Acoustic Wave in a Semiconductor Plasma Medium under Momentum Mismatched Condition

Physics of the Solid State - Temporal instability of acoustic wave is investigated in an infinite semiconductor plasma using classical hydrodynamic approach. We consider a homogeneous semiconductor...     

Laser Nanofluidics of Liquid Crystals

Physics of the Solid State - Several scenarios of formation of hydrodynamic flows in nanoscale planar-oriented liquid-crystal (POLC) channels are described by numerical methods within nonlinear...     

Investigation of Plasma Oscillations in Glasslike Dielectrics by Means of Total External Reflection of X Rays

Technical Physics - Glasslike dielectrics are investigated by methods of plasmon dispersion and asymmetry of the number of localized electrons in the region in which total external reflection of...     

A Study of the Protective Properties of a Combined Cermet Material upon a High-Speed Impact

Technical Physics - The ballistic resistance of a combined cermet material based on a high-hardness ceramic bound with an intermetallide on a high-strength metal substrate, (TiB2 + NiTi) + Ti, is...     

Simulation of the Effect of Point Mutations on the Stability of Protein Dimers Using the Bcl-2 Protein Family as an Example

Technical Physics - A new method has been developed that enables synthesizing peptides with desired physicochemical properties, for example, with high affinity to one target protein and low...     

Theoretical Study of Nonradiative Energy Transfer from Exciplex to Perovskites

Russian Physics Journal - The results of theoretical studies of energy transfer from the exciplex of TCTA and Bphen molecules to CaZrO3, SrZrO3, and BaZrO3 perovskites are presented. As a result,...     

Plastic Strain Localization in Polycrystalline Titanium. Numerical Simulation

Russian Physics Journal - The paper presents numerical simulation of polycrystalline titanium deformation in terms of the crystal plasticity theory. Based on the experimental data, a...