LEADER 05364nam 22006615 450 001 9910886088603321 005 20250626164120.0 010 $a9783031626685 010 $a3031626680 024 7 $a10.1007/978-3-031-62668-5 035 $a(MiAaPQ)EBC31622070 035 $a(Au-PeEL)EBL31622070 035 $a(CKB)34455974500041 035 $a(DE-He213)978-3-031-62668-5 035 $a(EXLCZ)9934455974500041 100 $a20240828d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis and Applied Mathematics $eExtended Abstracts of the 2022 Joint Seminar /$fedited by Allaberen Ashyralyev, Michael Ruzhansky, Makhmud A. Sadybekov 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024. 215 $a1 online resource (250 pages) 225 1 $aResearch Perspectives Ghent Analysis and PDE Center,$x2948-1732 ;$v6 311 08$a9783031626678 311 08$a3031626672 327 $a- 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. 330 $aThis book presents extended abstracts of the Analysis and Applied Mathematics seminar organized jointly by Bahçe?ehir University, Istanbul, Turkey, Ghent Analysis & PDE Center, Ghent University, Ghent, Belgium and the Institute Mathematics & Math. Modeling, Almaty, Kazakhstan. The book is of value to professional mathematicians as well as advanced students in the fields of analysis and applied mathematics. The goal of the seminar is to provide a forum for researchers and scientists from different regions to communicate their recent developments and to present their original results in various fields of analysis and applied mathematics. All of the articles contain new results and are peer-reviewed. The volume reflects the latest developments in the area of analysis and applied mathematics and their interdisciplinary applications. 410 0$aResearch Perspectives Ghent Analysis and PDE Center,$x2948-1732 ;$v6 606 $aMathematical analysis 606 $aFunctional analysis 606 $aDynamics 606 $aOperator theory 606 $aAnalysis 606 $aFunctional Analysis 606 $aDynamical Systems 606 $aOperator Theory 615 0$aMathematical analysis. 615 0$aFunctional analysis. 615 0$aDynamics. 615 0$aOperator theory. 615 14$aAnalysis. 615 24$aFunctional Analysis. 615 24$aDynamical Systems. 615 24$aOperator Theory. 676 $a515 700 $aAshyralyev$b A$g(Allaberen),$f1955-$060572 701 $aRuzhansky$b Michael$0950915 701 $aSadybekov$b Makhmud$01796259 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910886088603321 996 $aAnalysis and Applied Mathematics$94337952 997 $aUNINA