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Mathematical topics
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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.
26p
prisonbreak123
21-05-2021
24
4
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The dissertation used the following research methods: Theoretical research method, methods of survey questionnaire and observation, practical research method, expert consultaion method and experimental method in pedagogy.
32p
angicungduoc10
09-03-2021
17
5
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Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).
35p
noel_noel
17-01-2013
47
6
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We show that any analytically integrable Hamiltonian system near an equilibrium point admits a convergent Birkhoff normalization. The proof is based on a new, geometric approach to the topic. 1. Introduction Among the fundamental problems concerning analytic (real or complex) Hamiltonian systems near an equilibrium point, one may mention the following two: 1) Convergent Birkhoff. In this paper, by “convergent Birkhoff” we mean a normalization, i.e.
17p
noel_noel
17-01-2013
41
4
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There has been significant interest in the topic of finding permutations containing many copies of the same pattern. In this paper, we will be concerned with the other extremity, permutations containing as many different patterns as possible. At the Conference on Permutation Patterns, Otago, New Zealand, 2003, Herb Wilf asked how many distinct patterns could be contained in a permutation of length n. Based on empirical evidence, it seemed this number may approach the theoretical upper bound of 2n.
4p
thulanh5
12-09-2011
46
5
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Mục đích của đề tài này là trình bày các ứng dụng của công thức Viète trong chương trình Toán bậc Phổ thông. ABSTRACT The aim of this topic is to present the applications of Viète’s formula in high – school mathematics.
5p
lananh27109
10-09-2011
61
5
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Geometry is a branch of mathematics related research space. Using experience, or perhaps by intuition, it is recognized by the space fundamental characteristics, the geometric axioms called the system. Axiomatic system including the original concept is not defined and the axioms (also known as the proposition) does not prove a relationship defined between the concepts.
12p
phalinh14
07-08-2011
47
3
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Mục tiêu của đề tài là trình bày các định lý tách tập lồi. Các định lý này có nhiều ứng dụng trong quy hoạch toán học. ABSTRACT The aim of this topic is to introduce separation theorem of convex sets. This theorem has many applications in mathematical programming. 1. Mở đầu. Khái niệm tập lồi trong không gian vectơ là sự khái quát khái niệm hình lồi trong hình học sơ cấp. Nó giữ vai trò quan trọng trong nhiều vấn đề giải tích hàm. Đặc biệt, lý thuyết các hàm và tập lồi ( gọi là giải tích lồi)...
4p
meoden89nd
21-01-2011
321
59
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