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Wyszukujesz frazę "solvability" wg kryterium: Temat


Wyświetlanie 1-5 z 5
Tytuł:
On the solvability of Dirichlet problem for the weighted p-Laplacian
Autorzy:
Szlachtowska, E.
Powiązania:
https://bibliotekanauki.pl/articles/255957.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
p-Laplacian
weak solutions
solvability
Opis:
The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted ρ-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces.
Źródło:
Opuscula Mathematica; 2012, 32, 4; 775-781
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The $L^p$ solvability of the Dirichlet problems for parabolic equations
Autorzy:
Tao, Xiang Xing
Powiązania:
https://bibliotekanauki.pl/articles/1206127.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
parabolic equation
$L^p$ solvability
Dirichlet problems
Lip(1,1/2) cylinder
Opis:
For two general second order parabolic equations in divergence form in Lip(1,1/2) cylinders, we give a criterion for the preservation of $L^p$ solvability of the Dirichlet problems.
Źródło:
Studia Mathematica; 2000, 139, 1; 69-80
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the solvability of Dirichlet problem for the weighted p-Laplacian
Autorzy:
Mielczarek, Dominik
Rydlewski, Jerzy
Szlachtowska, Ewa
Powiązania:
https://bibliotekanauki.pl/articles/729562.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
weighted p-Laplacian
weak solutions
solvability
semi-inner product spaces
Opis:
In this paper we are concerned with the existence and uniqueness of the weak solution for the weighted p-Laplacian. The purpose of this paper is to discuss in some depth the problem of solvability of Dirichlet problem, therefore all proofs are contained in some detail. The main result of the work is the existence and uniqueness of the weak solution for the Dirichlet problem provided that the weights are bounded. Furthermore, under this assumption the solution belongs to the Sobolev space $W₀^{1,p}(Ω)$.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 1; 89-103
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of Multi-Dimensional Discrete Systems With Varying Structure
Autorzy:
Dymkov, M.
Gaishun, I.
Powiązania:
https://bibliotekanauki.pl/articles/908265.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ wielowymiarowy
złożenie krzywoliniowe
stabilność
multi-dimensional systems
total solvability
curvilinear composition
stability
Opis:
A new class of multi-dimensional discrete systems with varying structureis introduced. The notions of total solvability, p_t-boundedness, p_t-stability and asymptotic stability are defined. For studying properties of the solutions for the considered systems a curvilinear composition of mappings along discrete curves is used. Total solvability conditions similar to the Frobenius ones are obtained. Sufficient conditions for p_t-stability and asymptotic stability based on the Lyapunov functional method are also established. A two-dimensional system of Volterra equations is presented as an example of equations with varying structure.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 789-799
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Does Science Progress Towards Ever Higher Solvability Through Feedbacks Between Insights and Routines?
Autorzy:
Marciszewski, Witold
Powiązania:
https://bibliotekanauki.pl/articles/561316.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Semiotyczne
Tematy:
Algorithm
arithmetic
axiom
axiomatic formalized theory
concept
decidability
feedback
insight (intuition)
mathematics
mechanism
mentalism
oracle
problem
problem-solving
progress
routine procedure
science
solvability
Opis:
The affirmative answer to the title question is justified in two ways: logical and empirical. (1) The logical justification is due to Gödel’s discovery (1931) that in any axiomatic formalized theory, having at least the expressive power of PA (Peano Arithmetic), at any stage of development there must appear unsolvable problems. However, some of them become solvable in a further development of the theory in question, owing to subsequent investigations. These lead to new concepts, expressed with additional axioms or rules. Owing to the so-amplified axiomatic basis, new routine procedures like algorithms, can be reached. Those, in turn, help to gain new insights which lead to still more powerful axioms, and consequently again to ampler algorithmic resources. Thus scientific progress proceeds to an ever higher scope of solvability. (2) The existence of such feedback cycles – in a formal way rendered with Turing’s systems of logic based on ordinal (1939) – gets empirically supported by the history of mathematics and other exact sciences. An instructive instance of such a process is found in the history of the number zero. Without that insight due to some ancient Hindu mathematicians there could not arise such an axiomatic theory as PA. It defines the algorithms of arithmetical operations, which in turn help intuitions; those, in turn, give rise to algorithmic routines, not available in any of the previous phases of the process in question. While the logical substantiation of the point of this essay is a well-established result of logico-semantic inquiries, its empirical claim, based on historical evidences, remains open for discussion. Hence the author’s intention to address philosophers and historians of science, and to encourage their critical responses.
Źródło:
Studia Semiotyczne; 2018, 32, 2; 153-185
0137-6608
Pojawia się w:
Studia Semiotyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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