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...     

One Spot Microwave Synthesis and Characterization of Nitrogen-Doped Carbon Dots with High Oxygen Content for Fluorometric Determination of Banned Sudan II Dye in Spice Samples

Journal of Fluorescence - A simple microwave-assisted synthesis of nitrogen-doped carbon dots with high oxygen content (O-N-CDs) was carried out with citric acid as a carbon source and...     

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...