Temat: quadratic integral equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and stability of solutions for a system of quadratic integral equations in Banach algebras
Autorzy:: Baghdad, Said
Powiązania:: https://bibliotekanauki.pl/articles/1792569.pdf
Data publikacji:: 2020-12-15
Wydawca:: Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:: quadratic integral equations of fractional order
Opis:: The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo's fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.
Źródło:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 203-218
2300-133X
Pojawia się w:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On some qualitative properties of integrable solutions for Cauchy-type problem of fractional order
Autorzy:: Metwali, M. M. A.
Powiązania:: https://bibliotekanauki.pl/articles/357698.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: Cauchy problem
Darbo fixed point theorem
quadratic integral equations
measure of noncompactness
problem Cauchy'ego
twierdzenie o punkcie stałym
twierdzenie Darbo
równania całkowe
miara niezwartości
Opis:: The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as monotonicity, uniqueness and continuous dependence on the initial data. The main tools used are measure of weak (strong) noncompactness, Darbo fixed point theorem and fractional calculus.
Źródło:: Journal of Mathematics and Applications; 2017, 40; 121-p134
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations
Autorzy:: El-Sayed, A.M.A
Hashem, H.H.G
Powiązania:: https://bibliotekanauki.pl/articles/745817.pdf
Data publikacji:: 2008
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Quadratic Hammerstein and Urysohn functional integral equations
Positive monotonic solutions
Measure of noncompactness
Opis:: The existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [3], [6], [7] and [9]. Here We are concerning with the existence of \(L _1\) positive monotonic solutions for the quadratic Hammerstein and quadratic Urysohn functional integral equations.
Źródło:: Commentationes Mathematicae; 2008, 48, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Algorithms for integral solutions of a class of diophantine equations
Autorzy:: Polak, A.
Powiązania:: https://bibliotekanauki.pl/articles/206419.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: integral quadratic form
unit form
diophantine equations
roots
Euler bilinear form
Euclidean diagrams
mesh quiver
algorithm
Maple
Opis:: In 1970 a negative solution to the tenth Hilbert problem, concerning the determination of integral solutions of diophantine equations, has been published by Y. W. Matiyasevich (see Matiyasevich, 1970). Despite this result, we can present algorithms to compute integral solutions (roots) for a wide class of quadratic diophantine equations of the form q(x) = d, where q : Zⁿ → Z is a homogeneous quadratic form. We will focus on the roots of one (i.e., d = 1) of quadratic Euler forms of selected posets from Loupias list (see Loupias, 1975). In particular, we will describe the roots of positive definite quadratic forms and the roots of quadratic forms that are principal (see Simson, 2010a). The algorithms and results we present here are successfully used in the representation theory of finite groups and algebras.
Źródło:: Control and Cybernetics; 2011, 40, 2; 491-514
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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