A5076833563- Advanced Banach Space Theory
- Holomorphic and Operator Theory
- Approximation Theory and Sequence Spaces
- Numerical methods in engineering
- Fixed Point Theorems Analysis
- Advanced Topics in Algebra
- Differential Equations and Numerical Methods
- Advanced Control Systems Optimization
- Mathematical functions and polynomials
- Advanced Optimization Algorithms Research
- Advanced Mathematical Physics Problems
- Matrix Theory and Algorithms
- Neural Networks and Applications
- Optimization and Variational Analysis
- Fractional Differential Equations Solutions
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
Technological University of the Mixteca
2020-2025
Benemérita Universidad Autónoma de Puebla
2018-2019
Gabor filters are parametric functions that located in both the spatial and frequency domains, they used digital signal processing have been combined with fractal dimension biometric recognition of iris eye oil exploration to identify layers form a soil structure. In this work, we present an example filter does not preserve dimension, which affects efficiency methods recognition. sense, S. Albeverio, M. Pratsiovytyi, G. Torbin provide study on show those decomposable domain such property...
In this paper, we introduce the HK-Sobolev space and establish a fundamental theorem of calculus an integration by parts formula, then give sufficient conditions for existence uniqueness solution to variational problem associated with Sturm–Liouville type equation involving Henstock-Kurzweil integrable functions as source terms.
In this work, the Finite Element Method is used for finding numerical solution of an elliptic problem with Henstock–Kurzweil integrable functions. particular, high oscillatory functions were considered. The weak formulation leads to integrals that are calculated using some special quadratures. Definitions and theorems guarantee existence appear in formulation. This allowed us apply above type slope bounded variation Numerical examples developed illustrate ideas presented article.
The AP–Henstock–Kurzweil-type integral is defined on X, where X a complete measure metric space. We present some properties of the integral, continuing study’s use Radon μ. Finally, using locally finite measures, we extend AP–Henstock–Kurzweil theory to second countable Hausdorff spaces that are compact. A Saks–Henstock-type Lemma proved here.
Using a bounded bilinear operator, we define the Henstock-Stieltjes integral for vector-valued functions; prove some integration by parts theorems Henstock and Riesz-type theorem which provides an alternative proof of representation real functions proved Alexiewicz.
In this paper, we give sufficient conditions for the existence and uniqueness of solution Sturm–Liouville equations subject to Dirichlet boundary value involving Kurzweil–Henstock integrable functions on unbounded intervals. We also present a finite element method scheme functions.
In this paper we study the $\nu$-continuity of spectrum and some its parts. We show that approximate point $\sigma_{ap}$ is upper semi-$\nu$-continuous at every Fredholm operator, then give sufficient conditions to guarantee $\sigma_{ap}$. Also restriction Weyl on class essentially $G_1$ operators $\nu$-continuous. Finally, investigate $p$-hyponormal operators.
We prove that the controlled continuity, induced by convergence, and continuity in norm are equivalent for linear operators defined on space of Henstock integrable vector-valued functions.