Autor: Bader, Ralf - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A sufficient condition for the existence of multiple periodic solutions of differential inclusions
Autorzy:: Bader, Ralf
Powiązania:: https://bibliotekanauki.pl/articles/1358942.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:: Banach Center Publications; 1996, 35, 1; 129-138
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions
Autorzy:: Bader, Ralf
Papageorgiou, Nikolaos
Powiązania:: https://bibliotekanauki.pl/articles/1208032.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Dirichlet
maximal monotone operator
Yosida approximation
monotone operator
resolvent operator
measurable selection
demicontinuous operator
Neumann and periodic problems
coercive operator
projection theorem
Opis:: We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of operators of monotone type and on the Leray-Schauder fixed point theorem. At the end we present some special cases (including the classical Dirichlet, Neumann and periodic problems), which illustrate the general and unifying features of our work.
Źródło:: Annales Polonici Mathematici; 2000, 73, 1; 69-92
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Nonlinear multivalued boundary value problems
Autorzy:: Bader, Ralf
Papageorgiou, Nikolaos
Powiązania:: https://bibliotekanauki.pl/articles/729304.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: usc and lsc multifunction
measurable selection
Leray-Schauder alternative theorem
Sobolev space
compact embedding
maximal monotone map
coercive map
surjective map
convex and nonconvex problem
nonlinear boundary conditions
Opis:: In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when $domA ≠ ℝ^{N}$ and $domA = ℝ^{N}$, with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come from multivalued analysis and the theory of nonlinear monotone operators.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 127-148
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: On the topological dimension of the solutions sets for some classes of operator and differential inclusions
Autorzy:: Bader, Ralf
Gel'man, Boris
Kamenskii, Mikhail
Obukhovskii, Valeri
Powiązania:: https://bibliotekanauki.pl/articles/729534.pdf
Data publikacji:: 2002
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: solutions set
fixed points set
topological dimension
multivalued map
condensing map
topological degree
differential inclusion
periodic problem
Opis:: In the present paper, we give the lower estimation for the topological dimension of the fixed points set of a condensing continuous multimap in a Banach space. The abstract result is applied to the fixed point set of the multioperator of the form $ = S _F$ where $_F$ is the superposition multioperator generated by the Carathéodory type multifunction F and S is the shift of a linear injective operator. We present sufficient conditions under which this set has the infinite topological dimension. In the last section of the paper, we consider the applications of the solutions sets for Cauchy and periodic problems for semilinear differential inclusions in a Banach space.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 1; 17-32
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja