On a Class of Integro-Differential Equations in the Singular Case

Differential Equations - We study a linear integro-differential equation with a singular differential operator in the leading part. A special generalized version of the collocation method is...     

Invariant Spaces of Entire Functions

Mathematical Notes - Subspaces of the space of analytic functions on a convex domain in the complex plane that are invariant with respect to the differentiation operator are studied. The problem of...     

Fractional-order single state reset element

Nonlinear Dynamics - This paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear...     

FREE VIBRATIONS OF A VERTICAL SUPPORT COMPRISED OF THREE ORTHOTROPIC CYLINDRICAL PANELS REINFORCED WITH CROSS FIBERS IN CONTACT WITH VISCOUSLY ELASTIC SOIL

Journal of Applied Mechanics and Technical Physics - Natural vibrations of supports comprised of three cylindrical panels supported by ring elements and soil are under study. A system of equations...     

On The Existence of Solutions to One-Dimensional Fourth-Order Equations

Ukrainian Mathematical Journal - By using variational methods and critical-point theorems, we prove the existence of nontrivial solutions for one-dimensional fourth-order equations. The...     

Dynamics of the Spatial Structure of a Microsecond Pulsed Barrier Discharge Initiated in Atmospheric Pressure Air in the Point–Plane Geometry at Different Polarities of Feed Voltage

Technical Physics - The evolution of a microsecond pulsed barrier discharge initiated in atmospheric pressure air in the point–plane electrode geometry has been investigated using streak...     

Phase Slips,Dislocations, Half-Integer Vortices,Two-Fluid Hydrodynamics,and the Chiral Anomaly in Charge and Spin Density Waves

Journal of Experimental and Theoretical Physics - This brief review recalls some chapters in theory of sliding incommensurate density waves which may have appeared after inspirations from studies...     

Influence on the Energy of the Covalent Bond of the Isotopic Composition of its Nuclei

Russian Physics Journal - Based on the classical quantum-mechanical approach, the physical mechanism of isotope fractionation is proposed associated with the predominance of a certain number of...     

Study of the Photocatalytic Antimicrobial Activity of Nanocomposites Based on TiO2–Al2O3 under Action of LED Radiation (405 nm) on Staphylococci

Optics and Spectroscopy - We study the photocatalytic activity of nanocomposites based on θ-phase alumina (Al2O3) with different TiO2 concentrations for heterogeneous photocatalysis and...