05702nam a22005895i 4500 978-3-031-62668-5 DE-He213 20251030112915.0 cr nn 008mamaa 240828s2024 sz | s |||| 0|eng d 9783031626685 978-3-031-62668-5 10.1007/978-3-031-62668-5 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema Analysis and Applied Mathematics [electronic resource] : Extended Abstracts of the 2022 Joint Seminar / edited by Allaberen Ashyralyev, Michael Ruzhansky, Makhmud A. Sadybekov. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. IX, 252 p. 19 illus., 17 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 6 - 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. This book presents extended abstracts of the Analysis and Applied Mathematics seminar organized jointly by Bahçeşehir University, Istanbul, Turkey, Ghent Analysis & PDE Center, Ghent University, Ghent, Belgium and the Institute Mathematics & Math. Modeling, Almaty, Kazakhstan. The book is of value to professional mathematicians as well as advanced students in the fields of analysis and applied mathematics. The goal of the seminar is to provide a forum for researchers and scientists from different regions to communicate their recent developments and to present their original results in various fields of analysis and applied mathematics. All of the articles contain new results and are peer-reviewed. The volume reflects the latest developments in the area of analysis and applied mathematics and their interdisciplinary applications. Mathematical analysis. 64178 Functional analysis. Dynamical systems. Operator theory. Analysis. Functional Analysis. Dynamical Systems. Operator Theory. Ashyralyev, Allaberen. editor. edt http://id.loc.gov/vocabulary/relators/edt 83009 Ruzhansky, Michael. editor. (orcid)0000-0003-4789-1982 https://orcid.org/0000-0003-4789-1982 edt http://id.loc.gov/vocabulary/relators/edt 71935 Sadybekov, Makhmud A. editor. edt http://id.loc.gov/vocabulary/relators/edt 83010 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031626678 Printed edition: 9783031626692 Printed edition: 9783031626708 Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 6 71936 https://doi.org/10.1007/978-3-031-62668-5 ZDB-2-SMA ZDB-2-SXMS 62785 62785