Temat: nonlinear boundary-value problems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Multiple solutions of boundary value problems on time scales for φ-laplacian operator
Autorzy:: Amster, Pablo
Kuna, Mariel Paula
Santos, Dionicio Pastor
Powiązania:: https://bibliotekanauki.pl/articles/255690.pdf
Data publikacji:: 2020
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: dynamic equations on time scales
nonlinear boundary value problems
upper and lower solutions
Leray-Schauder degree
multiple solutions
Opis:: We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a y-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree. The results extend and improve known results for analogous problems with discrete p-Laplacian as well as those for boundary value problems on time scales.
Źródło:: Opuscula Mathematica; 2020, 40, 4; 405-425
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
Autorzy:: Auzinger, W.
Karner, E.
Koch, O.
Weinmuller, E.
Powiązania:: https://bibliotekanauki.pl/articles/255635.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: polynomial collocation
singular boundary value problems
linear and nonlinear eigenvalue problems
Opis:: We demonstrate that eigenvalue problems for ordinary differential equations can be recast in a formulation suitable for the solution by polynomial collocation. It is shown that the well-posedness of the two formulations is equivalent in the regular as well as in the singular case. Thus, a collocation code equipped with asymptotically correct error estimation and adaptive mesh selection can be successfully applied to compute the eigenvalues and eigenfunctions efficiently and with reliable control of the accuracy. Numerical examples illustrate this claim.
Źródło:: Opuscula Mathematica; 2006, 26, 2; 229-241
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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