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Inverse Scattering Problem for the Schrodinger’s Equation

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International Journal of Modern Nonlinear Theory and Application 2013年第4期2卷 244-246页

作者： asset a.durmagambetov Leyla S.Fazilova Buketov Karaganda State University KaragandaKazakhstan

The analytic properties of the scattering amplitude are discussed. And, the representation of the potential by the scattering amplitude is obtained.

关键词： Schrodinger’s Equation Potential Scattering Amplitude

Application of analytic functions to the global solvabilty of the Cauchy problem for equations of Navier-Stokes

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Natural Science 2010年第4期2卷 338-356页

作者： asset durmagambetov 不详

The interrelation between analytic functions and real-valued functions is formulated in the work. It is shown such an interrelation realizes nonlinear representations for real-valued functions that allow to develop new methods of estimation for them. These methods of estimation are approved by solving the Cauchy problem for equations of viscous incompressible liquid.

关键词： Shrdinger Cauchy Problem

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Riemann Hypothesis

Journal of Applied Mathematics and Physics 2017年第7期5卷 1424-1430页

作者： asset A. durmagambetov Department of Mathematics L.N.Gumilyov Eurasian National University Astana Kazakhstan

This work represents the development and detailing of works in [1] [2], and work is dedicated to the promotion of the results Abels obtained modifying zeta functions. The properties of zeta functions are studied;these properties lead to new regularities of zeta functions. The choice of a special type of modified zeta functions allows estimating the Riemann’s zeta function and solving Riemann Problem.

关键词： Chebyshev Dirichlet Riemann Hypothesis Zeta Function

Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation

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Applied Mathematics 2014年第13期5卷 1903-1912页

作者： asset durmagambetov Leyla Fazilova Department Applied Mathematics and Informatics Buketov Karaganda State UniversityKaragandaKazakhstan

The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.

关键词： Schrodinger's Equation Potential Scattering Amplitude Cauchy Problem Navier-Stokes Equations Fourier Transform Global Solvability and Uniqueness of the Cauchy Problem Loss of Smoothness

Global Estimation of the Cauchy Problem Solutions’ Fourier Transform Derivatives for the Navier-Stokes Equation

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International Journal of Modern Nonlinear Theory and Application 2013年第4期2卷 232-234页

作者： asset A. durmagambetov Leyla S. Fazylova Buketov Karaganda State University Karaganda Kazakhstan

The uniform estimation of the derivatives of Fourier transforms of the Cauchy problem for the Navier-Stokes equations was obtained.

关键词： Fourier Transform Cauchy Problem Navier-Stokes Equations

The Riemann Hypothesis-Millennium Prize Problem

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Advances in Pure Mathematics 2016年第12期6卷 915-920页

作者： A. A. durmagambetov Karaganda State University Karagandy Kazakhstan

This work is dedicated to the promotion of the results C. Muntz obtained modifying zeta functions. The properties of zeta functions are studied;these properties lead to new regularities of zeta functions. The choice of a special type of modified zeta functions allows estimating the Riemann’s zeta function and solving Riemann Problem-Millennium Prize Problem.

关键词： Euler Chebyshev Dirichlet Riemann Hypothesis Zeta Function Muntz Function Complex Numbers Regular Function Integral Function Representation Millennium Prize Problem

Erratum to “The Riemann Hypothesis-Millennium Prize Problem” [Advances in Pure Mathematics 6 (2016) 915-920]

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Advances in Pure Mathematics 2016年第13期6卷 1053-1056页

作者： A. A. durmagambetov L. N. Gumilyov Eurasian National University

The original online version of this article (durmagambetov, A.A. (2016) The Riemann Hypothesis-Millennium Prize Problem. Advances in Pure Mathematics, 6, 915-920. 10.4236/apm.2016.612069) unfortunately contains a mist... 详细信息

关键词： Euler Chebyshev Dirichlet Riemann Hypothesis Zeta Function Muntz Function Complex Numbers Regular Function Integral Function Representation Millennium Prize Problem

Global Estimation of the Cauchy Problem Solutions’the Navier-Stokes Equation

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Journal of Applied Mathematics and Physics 2014年第4期2卷 17-25页

作者： A.a.durmagambetov L.S.Fazilova Buketov Karaganda State University KaragandaKazakhstan

关键词： Schrodinger’s Equation Potential Scattering Amplitude Cauchy Problem Navier-Stokes Equations Fourier Transform

Infinite Number of Twin Primes

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Advances in Pure Mathematics 2016年第13期6卷 954-971页

作者： S. N. Baibekov A. A. durmagambetov L.N. Gumilyov Eurasian National University Astana Kazakhstan

This work is devoted to the theory of prime numbers. Firstly it introduced the concept of matrix primes, which can help to generate a sequence of prime numbers. Then it proposed a number of theorems, which together wi... 详细信息

关键词： Prime Numbers Twin Primes Composite Numbers Natural Numbers Algorithms Arithmetic Progression Prime Numbers Matrix Special Factorial Generation of Prime Numbers