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Wyszukujesz frazę "fixed point" wg kryterium: Temat


Wyświetlanie 1-12 z 12
Tytuł:
Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
Autorzy:
Benchohra, Mouffak
Górniewicz, Lech
Ntouyas, Sotiris
Powiązania:
https://bibliotekanauki.pl/articles/729314.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
controllability
mild solution
evolution
fixed point
Opis:
In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 261-282
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On controllability for fractional differential inclusions in Banach spaces
Autorzy:
Wang, J.
Li, X.
Wei, W.
Powiązania:
https://bibliotekanauki.pl/articles/256046.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
controllability
fractional differential inclusions
Bohnenblust-Karlin's fixed point theorem
Opis:
In this paper, we investigate the controllability for systems governed by fractional differential inclusions in Banach spaces. The techniques rely on fractional calculus, multivalue mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem.
Źródło:
Opuscula Mathematica; 2012, 32, 2; 341-356
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Schauders fixed-point theorem in nonlinear controllability problems
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/206701.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nieliniowy system sterowania
sterowalność
twierdzenie o punkcie stałym
continuous-time systems
controllability
fixed-point theorems
nonlinear control systems
Schauder's fixed point theorem
Opis:
This paper refers to application of the Schauder's fixed point theorem together with linear controllability results in getting the sufficient controllability conditions for various kinds of controllability and for different types of nonlinear control systems. The following nonlinear control systems are considered : finite-dimensional systems, systems with delays in control or in the state variables, and infinite-dimensional systems. The paper presents the review of results existing in the literature which show how Schauder's fixed-point theorem can be practically used to solve several controllability problems for different types of nonlinear control systems.
Źródło:
Control and Cybernetics; 2000, 29, 1; 153-165
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability for some partial functional integrodifferential equations with nonlocal conditions in Banach spaces
Autorzy:
Ezzinbi, Khalil
Degla, Guy
Ndambomve, Patrice
Powiązania:
https://bibliotekanauki.pl/articles/729519.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
controllability
integrodifferential equations
nonlocal initial condition
resolvent operator
Mönch fixed-point theorem
Opis:
This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllability of the system by supposing that its linear homogeneous part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point theorem. As a result, we obtain a generalization of the work of Y.K. Chang, J.J. Nieto and W.S. Li (J. Optim. Theory Appl. 142, 267-273 (2009)), without assuming the compactness of the resolvent operator. An example of application is given for illustration.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2015, 35, 1; 25-46
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
Autorzy:
Benedetti, Irene
Obukhovskii, Valeri
Zecca, Pietro
Powiązania:
https://bibliotekanauki.pl/articles/729247.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
evolution differential inclusion
impulsive inclusion
control system
controllability
mild solution
condensing multimap
fixed point
Opis:
We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear part and on the jump functions. As example, we consider the controllability of an impulsive system governed by a wave equation with delayed feedback.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 1; 39-69
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence results for ϕ-Laplacian Dirichlet BVP of differential inclusions with application to control theory
Autorzy:
Djebali, Smaïl
Ouahab, Abdelghani
Powiązania:
https://bibliotekanauki.pl/articles/729271.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
differential inclusions
boundary value problem
fixed point
compact
convex
nonconvex
decomposable
continuous selection
controllability
Opis:
In this paper, we study ϕ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multi-valued right-hand side. The nonlinearity satisfies either a Nagumo-type growth condition or an integrably boundedness one. The proofs rely on the Bonhnenblust-Karlin fixed point theorem and the Bressan-Colombo selection theorem respectively. Two applications to a problem from control theory are provided.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 1; 23-49
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of nonlinear implicit fractional integrodifferential systems
Autorzy:
Balachandran, K.
Divya, S.
Powiązania:
https://bibliotekanauki.pl/articles/329784.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
controllability
fractional derivative
integrodifferential equations
fixed point theorem
sterowalność
pochodna ułamkowa
równanie różniczkowe
punkty stałe
Opis:
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples are included to verify the result.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 713-722
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
Autorzy:
Abada, Nadjat
Benchohra, Mouffak
Hammouche, Hadda
Ouahab, Abdelghani
Powiązania:
https://bibliotekanauki.pl/articles/729413.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
semilinear functional differential inclusions
impulses
mild solution
fixed point
controllability
extrapolation space
nondensely defined operator
Opis:
In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 329-347
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions
Autorzy:
Ntouyas, S.
O'Regan, D.
Powiązania:
https://bibliotekanauki.pl/articles/729421.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
semilinear differential inclusions
nonlocal conditions
analytic semigroups
cosine functions
integrated semigroups
fixed point
nonlinear alternative
controllability
Opis:
In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 213-264
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
Autorzy:
Arjunan, M. M.
Nadaf, N. Y.
Powiązania:
https://bibliotekanauki.pl/articles/255760.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
damped second order differential equations
impulsive differential equations
controllability
state-dependent delay
cosine function
mild solution
fixed point
Opis:
In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii’s fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provided to illustrate the main results.
Źródło:
Opuscula Mathematica; 2014, 34, 3; 503-522
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The controllability of nonlinear implicit fractional delay dynamical systems
Autorzy:
Joice Nirmala, R.
Balachandran, K.
Powiązania:
https://bibliotekanauki.pl/articles/331001.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
controllability
fractional delay
differential equation
Mittag-Leffler function
fixed point theorem
sterowalność
opóźnienie ułamkowe
równanie różniczkowe
funkcja Mittag-Lefflera
Opis:
This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo fixed point theorem. Further, examples are given to illustrate the theory.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 501-513
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and controllability results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay
Autorzy:
Boudaoui, A.
Slama, A.
Powiązania:
https://bibliotekanauki.pl/articles/357775.pdf
Data publikacji:
2017
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
fractional impulsive stochastic differential equations
fixed point principle
controllability
mild solution
równania różniczkowe stochastyczne
równania różniczkowe ułamkowe
zasada punktu stałego
sterowalność
Opis:
In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic di erential equations with in nite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and in nite delay is studied. An example is provided to illustrate the obtained theory.
Źródło:
Journal of Mathematics and Applications; 2017, 40; 37-58
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-12 z 12

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