Unbounded Order Convergence and its Applications

Date

2016-12-31

Author

Emelyanov, Eduard

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

128
views

0
downloads

We plan to study some properties of unbounded order convergence related to variational calculus, PDE and financial mathematics. We expect that the project will result in convenient mathematical techniques in financial mathematics and mathematical physics.

Subject Keywords

Fonksiyonel Analiz, Varyasyon (Değişimler) Hesabı ve Optimal Kontrol

URI

https://hdl.handle.net/11511/58651

Collections

Department of Mathematics, Project and Design

Suggestions

OpenMETU
Core

Unbounded order convergence and the Gordon theorem# Gorokhova, S.G.; Kutateladze, S.S. (2019-01-01) The celebrated Gordon's theorem is a natural tool for dealing with universal completions of Archimedean vector lattices. Gordon's theorem allows us to clarify some recent results on unbounded order convergence. Applying the Gordon theorem, we demonstrate several facts on order convergence of sequences in Archimedean vector lattices. We present an elementary Boolean-Valued proof of the Gao-Grobler-Troitsky-Xanthos theorem saying that a sequence xn in an Archimedean vector lattice X is uo-null (uo-Cauchy) in ...
Generalized bent functions with perfect nonlinear functions on arbitrary groups Yılmaz, Emrah Sercan; Özbudak, Ferruh; Department of Cryptography (2012) This thesis depends on the paper ‘Non-Boolean Almost Perfect Nonlinear Functions on Non- Abelian Groups’ by Laurent Poinsot and Alexander Pott and we have no new costructions here. We give an introduction about character theory and the paper of Poinsot and Pott, and we also compare previous definitions of bent functions with the definition of the bent function in the paper. As a conclusion, we give new theoretical definitions of bent, PN, APN ana maximum nonlinearity. Moreover, we show that bent and PN func...
Solving Constrained Optimal Control Problems Using State-Dependent Factorization and Chebyshev Polynomials Gomroki, Mohammad Mehdi; Topputo, Francesco; Bernelli-Zazzera, Franco; Tekinalp, Ozan (2018-03-01) The present work introduces a method to solve constrained nonlinear optimal control problems using state-dependent coefficient factorization and Chebyshev polynomials. A recursive approximation technique known as approximating sequence of Riccati equations is used to replace the nonlinear problem by a sequence of linear-quadratic and time-varying approximating problems. The state variables are approximated and expanded in Chebyshev polynomials. Then, the control variables are written as a function of state ...
Bifurcation of a non-smooth planar limit cycle from a vertex Akhmet, Marat (2009-12-15) We investigate non-smooth planar systems of differential equations with discontinuous right-hand sides. Discontinuity sets intersect at a vertex, and are of quasilinear nature. By means of the B-equivalence method, which was introduced in [M. Akhmetov, Asymptotic representation of solutions of regularly perturbed systems of differential equations with a nonclassical right-hand side, Ukrainian Math. J. 43 (1991) 1209-1214; M. Akhmetov, On the expansion of solutions to differential equations with discontinuou...
The path integral quantization and the construction of the S-matrix operator in the Abelian and non-Abelian Chern-Simons theories Fainberg, VY; Pak, Namık Kemal; Shikakhwa, MS (IOP Publishing, 1997-06-07) The covariant path integral quantization of the theory of the scalar and spinor fields interacting through the Abelian and non-Abelian Chern-Simons gauge fields in 2 + 1 dimensions is carried out using the De Witt-Fadeev-Popov method. The mathematical ill-definiteness of the path integral of theories with pure Chern-Simons' fields is remedied by the introduction of the Maxwell or Maxwell-type (in the non-Abelian case) terms, which make the resulting theories super-renormalizable and guarantees their gauge-i...

Citation Formats

E. Emelyanov, “Unbounded Order Convergence and its Applications,” 2016. Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/58651.