Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 3

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Orlicz type category theorems for functional and differential equations

100%
Myjak J.
Instytut Matematyczny Polskiej Akademii Nauk
EN
CONTENTS Introduction.....................................................................................................................................5   1. General results.........................................................................................................................7   1.1. Residual sets.........................................................................................................................7   1.2. Generic properties of abstract functional equations..............................................................8 II. Differential equations................................................................................................................13   2.1. Continuous differential equations without existence............................................................13   2.2 Existence, uniqueness and continuous dependence............................................................18   2.3. Successive approximations..................................................................................................21   2.4. Remarks..............................................................................................................................26 III. Non-expansive mappings in Banach spaces............................................................................28   3.1. Generic properties..............................................................................................................28   3.2. The density result...............................................................................................................30   3.3. Supplementary remarks......................................................................................................32 IV. Asymptotic equilibria for accretive operators...........................................................................33   4.1. Notation and preliminaries...................................................................................................33   4.2. Lemmas...............................................................................................................................35   4.3. Category theorem................................................................................................................37   4.4 Application to the fixed-point theory......................................................................................38   4.5 Further results......................................................................................................................41 V. Hyperbolic equations................................................................................................................43   5.1. Notation...............................................................................................................................43   5.2. Generic property of existence, uniqueness and continuous dependence...........................43   5.3. Generic property of the convergence of successive approximations...................................45   5.4. A density theorem................................................................................................................47   5.5. Remarks..............................................................................................................................48 VI. Generic asymptotic stability.....................................................................................................50   6.1. Stability and asymptotic stability of stationary equations.....................................................50   6.2. Stability and asymptotic stability of non-stationary equations..............................................54   6.3. Stability by the Lyapunov function method..........................................................................55   6.4. Generic stability...................................................................................................................57 VII. Functional integral equations.................................................................................................58   7.1. Notation and auxiliary lemmas.............................................................................................58   7.2. Category theorems..............................................................................................................61   7.3. Some generalizations..........................................................................................................63 VIII. Functional differential equations............................................................................................64   8.1. Notation and preliminaries...................................................................................................64   8.2. Existence of unlimited solutions...........................................................................................65   8.3. Continuous dependence.....................................................................................................67   8.4. Existence and uniqueness as a generic property................................................................72   8.5. Convergence of successive approximations as a generic property.....................................75 References..................................................................................................................................79
2
Content available remote

Reinforced walk on graphs and neural networks

61%
Myjak J., Rudnicki R.
Studia Mathematica
|
2008
|
tom 189
|
nr 3
255-268
EN
A directed-edge-reinforced random walk on graphs is considered. Criteria for the walk to end up in a limit cycle are given. Asymptotic stability of some neural networks is shown.
3
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Boundary value problem for functional differential equations

43%
Myjak J.
Annales Polonici Mathematici
|
1976
|
tom 32
|
nr 1
23-31
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.