Summary of Mathematical Doctoral Thesis

In this thesis, we study some results of f-minimal surfaces in product spaces with the following purposes: State the relation between the f-minimal surfaces and the selfsimilar solutions of the mean curvature flow; state some properties of the f-minimal surfaces in the product spaces; construct some Bernstein type theorems, halfspace type theorems for f-minimal (f-maximal) surfaces in product spaces; state some results on the higher codimensional f-minimal surfaces.

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Structures of thesis: Chapter 1 - Preliminaries; Chapter 2 - Discrete data assimilation for the three-dimentional Leray-α model; Chapter 3 - Discrete data assimilation for the three-dimentional NavierStokes-α model; Chapter 4 - Abridged continuous data assimilation for the three-dimentional simplified Bardina model; Chapter 5 - Abridged data assimilation for the three-dimentional modified Leray-α.

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The research’s objectives: Proposing some potential measures to formulate and develop statistical thinking for students of pharmaceutical universities through teaching Statistics in Medicine and Pharmacy, contributing to improve the quality of school and helping Pharmaceutical students make more effective career decisions when studying statistics.

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Research aims: This thesis is concerned with the stability of some classes of nonlinear time-delay systems in neural networks. Investigating the problem of stability of non-autonomous neural networks with heterogeneous time-varying delays in the effect of destablizing impulses. Stabilizing Hopfiled neural networks with proposition delays subject to stabilizing and destablizing impulsive effects simultaneously.

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Aims of research: Proposing some of measures to organize teaching practices in training Mathematics teachers at Teacher Training Institutions in Lao PDR, contribute to meet the human resource requirements of Laos in the new period.

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Purpose of the research: On the basis of identifying necessary metacognitive skills, the role and significance of those metacognitive skills for students of Primary Education, the thesis gives out the procedure and proposes an model of organizing activities, designs specific activities applied in the subjects of mathematics teaching methods to train metacognitive skills for students of Primary Education.

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Objectives: The main objectives of this thesis is to study the problem of stability analysis and applications in control of discrete-time 2-D systems described by Roesser model with certain types of stochastic parameters. The research includes the methodology development and establishment of analysis and synthesis conditions of the following specified models.

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Objectives of research: The thesis is to give and prove some uniaueness theorems of the meromorphic functions f(z) on the complex plane which has hyperorder plane less than 1 share a part of the values with its f(z + c).

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The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

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The thesis proposes a class for the new economic 3-3-1 model, called a simple 3-3-1 model, in order to address the mentioned problems. The simple 3-3-1 model considers the simplest lepton sector and the scalar sector.

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The aim of this thesis is to study electrical transport characteristics of graphene nanostructures. We focus on two research objects associated with two kinds of graphene nanostructures: graphene bipolar junctions (GBJs) and graphene quantum dots (GQDs).

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The research objective: To study the methods used to modeling constraints and improve constraint solving capability. To apply symbolic execution technique in automatic test case generating. To implement proposed methods in automatic test case generating on string constraints and mixed constraints. To analyze and evaluate the obtained results.

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Objectives: The aim of the thesis is to develop Mickens’ methodology to construct NSFD methods for solving some important classes of differential equations arising in fields of science and technology.

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The objectives of the thesis: The thesis focus on the concept of martingale difference for a sequence set-valued random variables (which will then be called a weak set-valued martingale difference), showing some practical examples related to the weak set-valued martingale difference and proving its mathematical properties.

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Objective: This dissertation explores the influence of pectoral fin structures at different swimming modes on a robotic fish's locomotion behavior; Some objectives are addressed to achieve the mentioned aim as follows: Firstly, new designs based on bio-inspired pectoral fin types are constructed. Secondly, to describe fin deformation and body part movement, novel dynamically mathematical models are developed.

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Aims of the study: On the basis of clarifying the concept of guided self-study, teaching in the direction of helping school students with guided self-study, indicate neccessary skills as well as opportunities and ways to train university students with necessary skills so that after graduation they can teach math in the direction of helping school students self-study with guidance, contributing to training innovation at the University of Education.

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Purpose of study: The research aims to propose some pedagogical measures to train skill in DAS ITS in Mathematic for Primary Education students; Subject of study: Methods to training the primary education students the skill in DAS ITS in mathematic.

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Research purposes: Based on theoretical and practical research related to issues of language, mathematical language, thinking, the relationship between language and thinking, mathematical language and mathematical thinking, we propose some measures for developing mathematical language to contribute to improving the quality of teaching for pre-university students in the Central Highlands.

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Research purposes: We consider some inverse source problems for parabolic equations, focus on three topics: First, we give stability estimates. Second, we propose regularization methods to solve these problems. Third, we set up algorithms and give numerical examples to illustrate the performance of the proposed regularization methods in this thesis.

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Research purposes: On the basis of theoretical and practical research, the sis clarifies the content of conceptual thinking concept with Mathematics curriculum development at the primary level. Propose measures to train the adaptative skill to Mathematics curriculum development at the primary level for students of primary education to contribute to improving the quality of teacher training to meet the requirements of fundamental and comprehensive innovation of Education and Training.

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