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Publisher’s description: Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and functional spaces, differential and difference equations and boundary value problems, differential and integral operators and spectral theory, and mathematical methods in physical and engineering sciences. The present volume is devoted to these investigations. The publication of this collection of papers is based on the materials of the mini-symposium “Functional Analysis in Interdisciplinary Applications” organized in the framework of the Fourth International Conference on Analysis and Applied Mathematics (ICAAM 2018, September 6–9, 2018). Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis. Many articles are written by experts from around the world, strengthening international integration in the fields covered. The contributions to the volume, all peer reviewed, contain numerous new results.
This volume contains four different chapters. The first chapter contains the contributed papers focusing on various aspects of the theory of functions and functional spaces. The second chapter is devoted to the research on difference and differential equations and boundary value problems. The third chapter contains the results of studies on differential and integral operators and on the spectral theory. The fourth chapter is focused on the simulation of problems arising in real-world applications of applied sciences.
The articles of this volume will be reviewed individually. For the preceding conference see [Zbl 1392.46001]. For additional papers of ICAAM 2018 see [Zbl 1468.26002].
Indexed articles:
Boldyrev, Aleksandr; Zvyagin, Victor, Attractors for weak solutions of a regularized model of viscoelastic mediums motion with memory in non-autonomous case, 3-27 [Zbl 1479.35126]
Bakanov, Galitdin B., Investigation of finite-difference analogue of the integral geometry problem with a weight function, 29-38 [Zbl 1503.65276]
Buranay, Suzan C.; Farinola, Lawrence A., Six point implicit methods for the approximation of the derivatives of the solution of first type boundary value problem for heat equation, 39-62 [Zbl 1481.65124]
Ashyralyyev, Charyyar, Identification elliptic problem with Dirichlet and integral conditions, 63-73 [Zbl 1480.35275]
Karachik, Valery V.; Turmetov, Batirkhan Kh., On solvability of some boundary value problems with involution for the biharmonic equation, 75-90 [Zbl 1480.31003]
Kassymov, Aidyn; Suragan, Durvudkhan, Lyapunov-type inequality for fractional sub-Laplacians, 91-103 [Zbl 1481.35018]
Auwalu, Abba; Denker, Ali, Cone rectangular metric spaces over Banach algebras and fixed point results of T-contraction mappings, 107-116 [Zbl 1479.54066]
Hincal, Evren; Sayan, Murat; Kaymakamzade, Bilgen; Şanlidağ, Tamer; Sa’ad, Farouk Tijjani; Baba, Isa Abdullahi, Trends and risk of HIV/AIDS in Turkey and its cities, 117-126 [Zbl 1478.92195]
Ashyralyev, Allaberen; Hidayat, Twana Abbas; Sarsenbi, Abdisalam A., On the stability of Schrödinger type involutory differential equations, 127-140 [Zbl 1490.34084]
Muradov, Firudin Kh., On the ternary semigroups of continuous mappings, 141-148 [Zbl 1479.54065]
Yildirim, Ozgur; Uzun, Meltem, A unified numerical method for solving system of nonlinear wave equations, 149-159 [Zbl 1503.65192]
Hincal, Evren; Soykut, Günsu; Saad, Farouk Tijjani; Vatansever, Seda; Baba, Isa Abdullahi; Çalış, İhsan; Kaymakamzade, Bilgen; Becer, Eda, Comparison of the rate of induced intrinsic pathway of apoptosis on Colo-320 and Colo-741, 161-169 [Zbl 1478.92069]
Hezenci, Fatih; Sozen, Yasar, A note on representation variety of abelian groups and Reidemeister torsion, 171-181 [Zbl 1483.57029]
Ashyraliyev, Maksat; Ashyralyev, Allaberen; Zvyagin, Victor, A space-dependent source identification problem for hyperbolic-parabolic equations, 183-198 [Zbl 1479.35938]
Ashyralyev, Allaberen; Turk, Koray; Agirseven, Deniz, On the stability of the time delay telegraph equation with Neumann condition, 201-211 [Zbl 1506.35024]
Ashyraliyev, Maksat; Ashyralyyeva, Maral A., A note on a hyperbolic-parabolic problem with involution, 213-221 [Zbl 1503.65162]
Ashyralyev, Allaberen; Erdogan, Abdullah S., Numerical solution of a parabolic source identification problem with involution and Neumann condition, 223-233 [Zbl 1503.65163]
Ashyralyev, Allaberen; Taskin, Abdulgafur, The structure of fractional spaces generated by a two-dimensional difference neutron transport operator and its applications, 237-248 [Zbl 07444043]
Shilibekova, Dina, Uncertainty type principles for radial derivatives, 249-256 [Zbl 1481.26025]
Sadybekov, Makhmud A.; Derbissaly, Bauyrzhan O., Boundary conditions of volume hyperbolic potential in a domain with curvilinear boundary, 257-271 [Zbl 1479.35551]
Kashkynbayev, Ardak; Mustafa, Manat, Basic theory of impulsive quaternion-valued linear systems, 273-287 [Zbl 1484.34057]