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Analysis and Applied Mathematics Seminars
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Добавлен 29 янв 2022
In this channel, we will share Analysis and Applied Mathematics seminars given by well-known academicians. We are happy to see all mathematicians around the world.
AAM Seminar: On the blowing up solutions of a system of fractional differential equations
On the blowing up solutions of a system of fractional differential equations
PhD candidate Sofwah Ahmad Idrus
Khalifa University, Abu Dhabi, UAE
Abstract: This talk focuses on the study of a system of fractional differential equations with power-type nonlinearity that arises in nature. Using the comparison method, we establish sufficient conditions for the non-existence of global solutions and analyze the growth rate of the blowing-up solutions near the critical time. A key challenge in analyzing the growth rate of solutions near the blow-up time arises from the presence of the (weakly) singular kernel involved in the fractional differential operator. This difficulty is addressed by extendin...
PhD candidate Sofwah Ahmad Idrus
Khalifa University, Abu Dhabi, UAE
Abstract: This talk focuses on the study of a system of fractional differential equations with power-type nonlinearity that arises in nature. Using the comparison method, we establish sufficient conditions for the non-existence of global solutions and analyze the growth rate of the blowing-up solutions near the critical time. A key challenge in analyzing the growth rate of solutions near the blow-up time arises from the presence of the (weakly) singular kernel involved in the fractional differential operator. This difficulty is addressed by extendin...
Просмотров: 38
Видео
AAM Seminar: The Infinitesimalness of the summation order in the Abell-Lidskii sense for trace class
Просмотров 7821 час назад
On the infinitesimalness of the summation order in the Abell-Lidskii sense for the trace class Assoc. Prof. Dr. Maksim V. Kukushkin National Research University Higher School of Economics (HSE), Moscow, Russia & Institute of Applied Mathematics and Automation, Russian Academy of Sciences, Nalchik, Russia Abstract: In the recent century, the problem of root vectors system completeness related to...
AAM Seminar: New formulation of inverse problem of determining order of fractional derivative in pde
Просмотров 46Месяц назад
New formulation of the inverse problem of determining the order of fractional derivatives in partial differential equations Prof. Dr. Ravshan R. Ashurov Institute of Mathematics of the Academy of Sciences of Uzbekistan, Uzbekistan Abstract: Determining the unknown order of a fractional derivative in differential equations modeling various processes is an important problem of modern applied math...
AAM Seminar: Cauchy problem for parabolic differential-difference equations
Просмотров 34Месяц назад
Cauchy problem for parabolic differential-difference equations Prof. Dr. Andrey B. Muravnik RUDN University, Moscow, Russia Abstract: For parabolic differential-difference equations, the Cauchy problem with bounded initial-value functions is investigated. Its unique solvability is established, integral representations of its solutions are constructed, and (asymptotic) closeness (in particular, ...
AAM Seminar: Rigorous mathematical analysis and simulations of reaction-diffusion systems
Просмотров 715 месяцев назад
Rigorous mathematical analysis and simulations of reaction-diffusion systems with linear cross-diffusion on convex and non-convex domains Dr. Gülsemay Yiğit Bahçeşehir University, Istanbul, Türkiye Abstract: In this talk, a domain-dependent mathematical analysis of reaction-diffusion systems is presented to understand the role of geometry and cross-diffusion in pattern formation. Linear stabili...
AAM Seminar: Absolute Stable Difference Scheme for 3rd-Order Delay Partial Differential Equations
Просмотров 325 месяцев назад
On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations Dr. Suleiman Ibrahim Near East University, North Cyprus Abstract: The initial value problem for the third order delay differential equation in a Hilbert space with an unbounded operator is investigated. The absolute stable three-step difference scheme of a first order of accuracy is constructed and ana...
AAM Seminar: Potentiality, discretization, integral invariants of infinite dimensional Birkhoffs
Просмотров 725 месяцев назад
On potentiality, discretization, and integral invariants of the infinite-dimensional Birkhoff 's systems Prof. Dr. Vladimir M. Savchin Peoples' Friendship University of Russia, Moscow, Russia Abstract: In the study of the equations of motion of systems of various physical natures, there are problems in determining the qualitative indicators and properties of motion according to the known struct...
AAM Seminar: Stability analysis and robust control for time-delay systems
Просмотров 797 месяцев назад
Stability analysis and robust control for time-delay systems Dr. Rakkiyappan Rajan Bharathiar University, Coimbatore, India Abstract: Time-delay systems are dynamic systems in which a delay between the input and output significantly affects system performance. These delays, whether constant or variable, discrete or distributed, often arise in engineering applications such as networked control s...
AAM Seminar - Interior Schauder type estimates for mth order elliptic eqns in weighted Banach spaces
Просмотров 437 месяцев назад
Interior Schauder type estimates for m-th order elliptic equations in weighted Banach spaces Prof. Dr. Bilal T. Bilalov Yildiz Technical University, Istanbul, Türkiye Abstract: We consider m-th order linear, uniformly elliptic equations with non-smooth coefficients in Banach-Sobolev spaces generated by weighted Banach Function Spaces on a bounded domain. Supposing the boundedness of the Hardy-L...
AAM Seminar - Random Processes of IVPs for Difference-Differential Eqns of Retarded Type
Просмотров 457 месяцев назад
Random Processes Describing Solutions of Initial Value Problems for Difference-Differential Equations of Retarded Type Prof. Dr. Vsevolod Zh. Sakbaev Keldyah Institute of Applied Mathematics, Moscow, Russia Abstract: We will consider the procedure for constructing Feynman measures on the space of trajectories representing semigroups of operators in Hilbert space specified by a linear differenti...
AAM Seminar - Computing infinite tail in Neumann series repr. of multiple scattering problems
Просмотров 457 месяцев назад
Computing the infinite tail in the Neumann series representation of high-frequency multiple scattering problems Prof. Dr. Fatih Ecevit Boğaziçi University, Istanbul, Türkiye Abstract: We consider the high-frequency multiple scattering problem in the exterior of several convex obstacles. In this context, we review (1) the single scattering Galerkin boundary element methods (BEM) for the frequenc...
AAM Seminar - A note on positivity of differential operator with Samarskii-Ionkin type condition
Просмотров 318 месяцев назад
A note on positivity of differential operator with Samarskii-Ionkin type condition Prof. Dr. Yaşar Sözen Hacettepe University, Ankara, Türkiye Abstract: We consider a second order differential operator A^x with Samarkii-Ionkin type conditions. We establish the positivity of the differential operator A^x in C[0,1]. Moreover, we investigate the structure of fractional spaces E_α(C[0,1], A^x). Fur...
AAM Seminar - On the solutions of some second-order (p,q)-difference equation
Просмотров 248 месяцев назад
On the solutions of some second-order (p,q)-difference equation Prof. Dr. Metin Başarır Sakarya University, Türkiye Abstract: In this talk, we give a brief literature overview and then introduce the second-order difference equation, called Euler-Cauchy-like (p,q)-difference equation, and also give the oscillation of the solutions of this equation and the (p,q)-Sturm-type separation theorem and ...
AAM Seminar - On smoothness of generalized eigenfunctions for differential-difference operators
Просмотров 318 месяцев назад
On smoothness of generalized eigenfunctions for differential-difference operators Prof. Dr. Aleksandr L. Skubachevskii Peoples' Friendship University of Russia named after Patris Lumumba (RUDN), Moscow, Russia Abstract: Unlike ordinary differential equations with constant coefficients, smoothness of generalized solutions to boundary value problems for neutral differential-difference equations o...
AAM Seminar - The finite Hilbert transform on (-1,1)
Просмотров 659 месяцев назад
The finite Hilbert transform on (-1,1) Prof. Dr. Guillermo P. Curbera University of Sevilla, Sevilla, Spain
AAM Seminar - Rademacher chaos, combinatorial dimension and discrepancy of set systems
Просмотров 479 месяцев назад
AAM Seminar - Rademacher chaos, combinatorial dimension and discrepancy of set systems
AAM Seminar - Basic inequalities in the framework of equalities
Просмотров 10310 месяцев назад
AAM Seminar - Basic inequalities in the framework of equalities
AAM Seminar - On spectral questions of fourth-order differential operators with operator coefficient
Просмотров 3810 месяцев назад
AAM Seminar - On spectral questions of fourth-order differential operators with operator coefficient
AAM Seminar - On Some Applications of Measures of Noncompactness
Просмотров 6410 месяцев назад
AAM Seminar - On Some Applications of Measures of Noncompactness
AAM Seminar - Backward shift operators in Linear Dynamics
Просмотров 8410 месяцев назад
AAM Seminar - Backward shift operators in Linear Dynamics
AAM Seminar - Asymptotic analysis of Sturm-Liouville problem with two-point boundary conditions
Просмотров 5311 месяцев назад
AAM Seminar - Asymptotic analysis of Sturm-Liouville problem with two-point boundary conditions
AAM Seminar - Riemann-Hilbert problem for a multiply connected domain and its applications
Просмотров 4611 месяцев назад
AAM Seminar - Riemann-Hilbert problem for a multiply connected domain and its applications
AAM Seminar - Arithmetic Statistics in Number Theory
Просмотров 4611 месяцев назад
AAM Seminar - Arithmetic Statistics in Number Theory
AAM Seminar - Solving elliptic PDEs in infinite domains: from homogenization problems to magnetism
Просмотров 9811 месяцев назад
AAM Seminar - Solving elliptic PDEs in infinite domains: from homogenization problems to magnetism
AAM Seminar - Conformal Riemannian Maps to Almost Hermitian Manifolds
Просмотров 9611 месяцев назад
AAM Seminar - Conformal Riemannian Maps to Almost Hermitian Manifolds
AAM Seminar - Asymptotic solutions & high-order uniform difference schemes of perturbation problems
Просмотров 64Год назад
AAM Seminar - Asymptotic solutions & high-order uniform difference schemes of perturbation problems
AAM Seminar - Using adjoint equations to increase the accuracy of the fictitious domain method
Просмотров 28Год назад
AAM Seminar - Using adjoint equations to increase the accuracy of the fictitious domain method
AAM Seminar - Regularity for elliptic equations under minimal assumptions
Просмотров 39Год назад
AAM Seminar - Regularity for elliptic equations under minimal assumptions
AAM Seminar - Mathematical Issues of Difference Schemes for Atmospheric Boundary Layer Equations
Просмотров 40Год назад
AAM Seminar - Mathematical Issues of Difference Schemes for Atmospheric Boundary Layer Equations
AAM Seminar - Minimality conditions for Sturm-Liouville problems with a boundary condition
Просмотров 39Год назад
AAM Seminar - Minimality conditions for Sturm-Liouville problems with a boundary condition
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