Analysis and Applied Mathematics

Allaberen Ashyralyev is a professor of mathematics at Bahçeşehir University, Istanbul, TürkiyeMichael Ruzhansky is a Senior Full Professor of Mathematics at Ghent University in Belgium, and a Professor of Mathematics at Queen Mary University of London in the United Kingdom.Makhmud A. Sadybekov is Director General at the Institute of Mathematics and Mathematical Modelling in Almaty, Kazakhstan.

• - Part I Analysis.- Some Measures of Noncompactness and Their Applications.- Definition of Hessians for m--convex Functions as Borel Measures.- Necessary and Sufficient Conditions for Basis Properties of the System of Root Functions of Sturm-Liouville Boundary Value Problems with Eigenparameter Dependent Boundary Conditions.- Asymptotic Analysis of Sturm–Liouville Problem with Two-Point Boundary Conditions.- Characterization of the Constant Sign of a Class of Periodic and Neumann Green’s Functions via Spectral Theory.- Results for Multidimensional Hardy Operator Using Domain Partitions.- Part II Theory of Applied Mathematics.- A Numerical Algorithm for the Third Order Delay Partial Differential Equation with Robin Boundary Condition.- Solution of the Problem of Generalized Localization for Spherical Partial Sums of Multiple Fourier Series.- Regularization Methods for Solving Inverse Problems: A Comprehensive Review.- The Application of Spectral Resolution of a Self-Adjoint Operator to Approximate Elliptic Source Identification Problem with Neumann-Type Integral Condition.- A Note on Numerical Solution of a Parabolic Source Identification Problem with Involution and Robin Condition.- Part III Differential Equations and Their Applications.- On Sixth Order of Accuracy Four-Step Difference Schemes for the Fourth-Order Differential Equations.- Study of the Problem of One-Dimensional Flow of Homogenous Fluids in Fractal Porous Media.- Nonlocal Initial-Boundary Value Problems for a Degenerate Hyperbolic Equation.- On Well-Posedness of the Nonlocal Boundary Value Problem with Samarskii-Ionkin Conditions for the 2m-th Order Multidimensional Elliptic Equations.- Smoothness for Degenerate Elliptic Equations with Matrix Weights.- Stability Analysis of Differential Equations Using Mohand Integral Transform.- Part IV Modeling and Applications.- Mathematical Issues of Difference Schemes for Atmospheric Boundary Layer Equations.- Application of Adjoint Equations for Numerical Solution of Problems Using the Fictitious Domain Method.- Numerical Modeling of Diffusion Processes with Variable Density and Source in Two-Componential Nonlinear Media.- An Extensive Simulation Study for Evaluation of Penalized Variable Selection.- Constrained Switching of Exponentially Stable Time-Delay Systems: Perspectives and Open Questions.- A Regularization Method for an Inverse Problem Represented by a First-Kind Integral Equation.