Temat: systems of differential equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
Autorzy:: Brzychczy, Stanisław
Powiązania:: https://bibliotekanauki.pl/articles/1293995.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: method of lower and upper functions
infinite systems of parabolic differential-functional equations
monotone iterative method
Opis:: We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
Źródło:: Annales Polonici Mathematici; 1999, 72, 1; 15-24
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A splitting theory for the space of distributions
Autorzy:: Domański, P.
Vogt, D
Powiązania:: https://bibliotekanauki.pl/articles/1206085.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: exact complex
systems of partial differential equations
short exact sequence
splitting
space of distributions
lifting of Banach discs
Schwartz spaces
nuclear spaces
ultrabornological associated space
ω
Opis:: The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'
Źródło:: Studia Mathematica; 2000, 140, 1; 57-77
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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