Kalmenov, Tynysbek Sh.

Functional Analysis in Interdisciplinary Applications

Kalmenov, Tynysbek Sh. - Functional Analysis in Interdisciplinary Applications, ebook


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Table of contents

Part I. Theory of Functions and Functional Spaces

1. On Evolution of Invariant Riemannian Metrics
Generalized Wallach Spaces
Under the Normalized Ricci Flow

Nurlan Abiev

2. Hyperbolic Cross Approximation of Some Multivariate Function Classes with Respect to Wavelet System with Compact Supports

Sholpan A. Balgimbayeva

3. Hyperbolic Cross Approximation of Some Function Classes with Respect to Multiple Haar System
on the Unit Cube
Dauren B. Bazarkhanov

4. Compactness of Commutators for One Type of Singular Integrals on Generalized Morrey Spaces
Nurzhan Bokayev, Dauren Matin

5. On Multipliers from Weighted Sobolev Spaces to Lebesgue Spaces
Leili Kussainova, Aigul Myrzagaliyeva

6. Some New Fourier Multiplier Results of Lizorkin and Hörmander Types
Erlan Nursultanov, Lyazzat Sarybekova, Nazerke Tleukhanova

7. Four-Dimensional Generalized Difference Matrix and Almost Convergent Double Sequence Spaces
Orhan Tuǧ

8. The Marcinkiewicz Theorem on the Multipliers of Fourier Series for Weighted Lebesgue Spaces
Nazerke Tleukhanova

Part II. Differential Equations and Boundary Value Problems

9. Periodic Solution of Linear Autonomous Dynamic System
Serikbai A. Aisagaliev, Zhanat Kh. Zhunussova

10. On Solvability of Third-Order Singular Differential Equation
Raya D. Akhmetkaliyeva

11. Solvability of Multipoint-Integral Boundary Value Problem for a Third-Order Differential Equation and Parametrization Method
Anar T. Assanova, Askarbek E. Imanchiev

12. On the Solvability of Nonhomogeneous Boundary Value Problem for the Burgers Equation in the Angular Domain and Related Integral Equations
Meiramkul M. Amangaliyeva, Muvasharkhan T. Jenaliyev, Minzilya T. Kosmakova, Murat I. Ramazanov

13. On Algorithm of Finding Solutions of Semiperiodical Boundary Value Problem for Systems of Nonlinear Hyperbolic Equations
Symbat S. Kabdrakhova

14. On a Solution of a Nonlinear Semi-periodic Boundary Value Problem for a Differential Equation with Arbitrary Functions
Nurgul T. Orumbayeva, Gulmira Sabitbekova

15. An Analogue of the Schwarz Problem for the Moisil–Teodorescu System
Viktor A. Polunin, Alexandr P. Soldatov

16. On an Ill-Posed Problem for the Laplace Operator with Data on the Whole Boundary
Berikbol T. Torebek

17. Operator Method for Constructing a Solution of a Class of Linear Differential Equations of Fractional Order
Batirkhan Kh. Turmetov

Part III. Differential and Integral Operators and Spectral Theory

18. On Degenerate Boundary Conditions for Operator



Azamat M. Akhtyamov

19. Stability of a Hyperbolic Equation with the Involution
Allaberen Ashyralyev, Abdizhahan M. Sarsenbi

20. Relatively Bounded Perturbations of Correct Restrictions and Extensions of Linear Operators
Bazarkan N. Biyarov, Gulnara K. Abdrasheva

21. Regular Sturm-Liouville Operators with Integral Perturbation of Boundary Condition
Nurlan S. Imanbaev, Makhmud A. Sadybekov

22. A Boundary Condition of the Volume Potential for Strongly Elliptic Differential Equations
Tynysbek Sh. Kal’menov, Bolys Sabitbek

23. Estimates for Root Functions of a Singular Second-Order Differential Operator
Leonid V. Kritskov

24. A Sturm-Liouville Operator with a Negative Parameter and Its Applications to the Study of Differential Properties of Solutions for a Class of Hyperbolic Type Equations
Mussakan B. Muratbekov, Madi M. Muratbekov, Asijat N. Dadaeva

25. Remark on a Regularized Trace Formula for m-Laplacian in a Punctured Domain
Gulzat Nalzhupbayeva, Niyaz Tokmagambetov

26. Internal Boundary Value Problems for the Laplace Operator with Singularity Propagation
Daulet B. Nurakhmetov, Almir A. Aniyarov

27. Spectral Properties of Degenerate High-Order Differential Operator
Kordan N. Ospanov

28. On Compactness of Resolvent of a First Order Singular Differential Operator in Bounded Vector-Valued Function Space
Myrzagali N. Ospanov

29. Some Reverse Hölder Type Inequalities Involving



Riemann-Liouville Fractional Integrals
Muharrem Tomar, Praveen Agarwal, Shilpi Jain, Gradimir V. Milovanović

30. Volterra Type Integral Equation with Super-Singular Kernels
Nusrat Rajabov

31. Isoperimetric Inequalities for Some Integral Operators Arising in Potential Theory
Michael Ruzhansky, Durvudkhan Suragan

32. Initial-Boundary Value Problem for a Heat Equation with not Strongly Regular Boundary Conditions
Makhmud A. Sadybekov

33. On S-Number Inequalities of Triangular Cylinders for the Heat Operator
Tynysbek Kal’menov, Aidyn Kassymov, Durvudkhan Suragan

34. On Some Equations on Non-smooth Manifolds: Canonical Domains and Model Operators
Vladimir B. Vasilyev

Part IV. Mathematical Methods in Physical Sciences

35. Electromagnetic Field and Constriction Resistance of the Ring-Shaped Contact
Stanislav N. Kharin, Merey M. Sarsengeldin, Samat A. Kassabek

36. Inverse Problem for 1D Pseudo-parabolic Equation
Khonatbek Khompysh

37. Solution of an Inverse Two Phase Spherical Stefan Test Problem
Merey M. Sarsengeldin, Targyn A. Nauryz, Nazerke T. Bizhigitova, Alibek M. Orinbasar

38. Generically Semistable Linear Quiver Sheaves
Alexander H. W. Schmitt

39. On Construction of the Force Function in the Presence of Random Perturbations
Marat I. Tleubergenov, Darkhan T. Azhymbaev

40. An Inverse Coefficient Problem for a Quasilinear Parabolic Equation of High Order
Asal V. Yuldasheva

41. Fundamental Solutions of Biot Equations for Moving Loads
Gulmira K. Zakiryanova

42. On Instability of a Program Manifold of Basic Control Systems
Sailaubay S. Zhumatov

43. Geometric Approach to Domain Wall Solution
Zhanat Kh. Zhunussova

Keywords: Mathematics, Functional Analysis, Partial Differential Equations, Applications of Mathematics

Publication year
Springer Proceedings in Mathematics & Statistics
Page amount
29 pages
Natural Sciences
Printed ISBN

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