Autor: Lyons, J. W. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Right focal boundary value problems for difference equations
Autorzy:: Henderson, J.
Liu, X.
Lyons, J. W.
Neugebauer, J. T.
Powiązania:: https://bibliotekanauki.pl/articles/255580.pdf
Data publikacji:: 2010
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: difference equation
boundary value problem
right focal
fixed point theorem
positive solution
Opis:: An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of the fixed point theorem, neither the entire lower nor entire upper boundary is required to be mapped inward or outward. A nontrivial example is also provided.
Źródło:: Opuscula Mathematica; 2010, 30, 4; 447-456
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
Autorzy:: Lyons, J. W.
Neugebauer, J. T.
Powiązania:: https://bibliotekanauki.pl/articles/255965.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: fractional differential equation
singular problem
fixed point
Opis:: For α ∈ (1,2] the singular fractional boundary value problem [formula] satisfying the boundary conditions [formula] where β ∈ (0,α - 1], μ ∈ (0,α - 1], and [formula] are Riemann-Liouville derivatives of order α, β, and μ respectively, is considered. Here ƒ satisfies a local Carathéodory condition, and ƒ (t, x, y) may be singular at the value 0 in its space variable x. Using regularization and sequential techniques and Krasnosel’skii’s fixed point theorem, it is shown this boundary value problem has a positive solution. An example is given.
Źródło:: Opuscula Mathematica; 2017, 37, 3; 421-434
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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