Temat: comparison theorem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence criteria for positive solutions of a nonlinear difference inequality
Autorzy:: Cheng, Sui
Zhang, Guang
Powiązania:: https://bibliotekanauki.pl/articles/1208008.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Sturm type comparison theorem
limit comparison theorem
nth order linear difference equation
eventually positive solution
eventually positive nonincreasing solution
neutral difference equation
nonlinear delay difference inequality
Opis:: This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Źródło:: Annales Polonici Mathematici; 2000, 73, 3; 197-220
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On strongly monotone flows
Autorzy:: Walter, Wolfgang
Powiązania:: https://bibliotekanauki.pl/articles/1294817.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: system of ordinary differential equations
initial value problem
comparison theorem
monotone flow
quasimonotonicity
Opis:: M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
Źródło:: Annales Polonici Mathematici; 1997, 66, 1; 269-274
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Comparison and oscillation theorems for singular Sturm-Liouville operators
Autorzy:: Homa, M.
Hryniv, R.
Powiązania:: https://bibliotekanauki.pl/articles/255024.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: distributional potential
Sturm-Liouville equation
Sturm comparison and oscillation theorem
Prufer angle
Opis:: We prove analogues of the classical Sturm comparison and oscillation theorems for Sturm-Liouville operators on a finite interval with real-valued distributional potentials.
Źródło:: Opuscula Mathematica; 2014, 34, 1; 97-113
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: On a theorem of Haimo regarding concave mappings
Autorzy:: Chuaqui, Martin
Duren, Peter
Osgood, Brad
Powiązania:: https://bibliotekanauki.pl/articles/747057.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Concave mapping
Schwarzian derivative
Schwarzian norm
Haimo’s theorem
univalence
Sturm comparison
asymptotically conformal curve
Opis:: A relatively simple proof is given for Haimo’s theorem that a meromorphic function with suitably controlled Schwarzian derivative is a concave mapping. More easily verified conditions are found to imply Haimo’s criterion, which is now shown to be sharp. It is proved that Haimo’s functions map the unit disk onto the outside of an asymptotically conformal Jordan curve, thus ruling out the presence of corners.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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