Autor: Cichoń, Mieczysław - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Differential inclusions and multivalued integrals
Autorzy:: Cichoń, Kinga
Cichoń, Mieczysław
Satco, Bianca
Powiązania:: https://bibliotekanauki.pl/articles/729320.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: nonlocal Cauchy problem
Aumann integrals
Pettis integrals
Henstock-Kurzweil-Pettis integrals
measure of weak noncompactness
Opis:: In this paper we consider the nonlocal (nonstandard) Cauchy problem for differential inclusions in Banach spaces
x'(t) ∈ F(t,x(t)), x(0)=g(x), t ∈ [0,T] = I.
Investigation over some multivalued integrals allow us to prove the existence of solutions for considered problem. We concentrate on the problems for which the assumptions are expressed in terms of the weak topology in a Banach space. We recall and improve earlier papers of this type. The paper is complemented by a short survey about multivalued integration including Pettis and Henstock-Kurzweil-Pettis multivalued integrals.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 171-191
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Knesers theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
Autorzy:: Cichoń, Mieczysław
Kubiaczyk, Ireneusz
Powiązania:: https://bibliotekanauki.pl/articles/1311465.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: set of solutions
pseudo-solutions
measures of weak noncompactness
Pettis integral
Opis:: We investigate the structure of the set of solutions of the Cauchy problem x' = f(t,x), x(0) = x₀ in Banach spaces. If f satisfies a compactness condition expressed in terms of measures of weak noncompactness, and f is Pettis-integrable, then the set of pseudo-solutions of this problem is a continuum in $C_{w}(I,E)$, the space of all continuous functions from I to E endowed with the weak topology. Under some additional assumptions these solutions are, in fact, weak solutions or strong Carathéodory solutions, so we also obtain Kneser-type theorems for these classes of solutions.
Źródło:: Annales Polonici Mathematici; 1995, 62, 1; 13-21
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Monotonic solutions for quadratic integral equations
Autorzy:: Cichoń, Mieczysław
Metwali, Mohamed
Powiązania:: https://bibliotekanauki.pl/articles/729338.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: integral equation
monotonic solution
measure of noncompactness
Darbo fixed point theorem
superposition operator
Opis:: Using the Darbo fixed point theorem associated with the measure of noncompactness, we establish the existence of monotonic integrable solution on a half-line ℝ₊ for a nonlinear quadratic functional integral equation.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 157-171
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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