Strong convergence theorem for semigroup of asymptotically nonexpansive mappings using viscosity approximation
Balwant Singh Thakur (2013)
Kragujevac Journal of Mathematics
Su, Yongfu, Qin, Xiaolong (2006)
Fixed Point Theory and Applications [electronic only]
Chang, Shih-Sen, Cho, Yeol Je, Lee, H.W.Joseph, Chan, Chi Kin (2011)
Fixed Point Theory and Applications [electronic only]
Saejung, Satit (2008)
Fixed Point Theory and Applications [electronic only]
He, Huimin, Chen, Rudong (2007)
Fixed Point Theory and Applications [electronic only]
Wattanawitoon, Kriengsak, Kumam, Poom (2010)
Fixed Point Theory and Applications [electronic only]
Alia, Mohamed, Ezzinbi, Khalil (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Jean-François Couchouron (2011)
ESAIM: Control, Optimisation and Calculus of Variations
This paper deals with feedback stabilization of second order equations of the form ytt + A0y + u (t) B0y (t) = 0, t ∈ [0, +∞[, where A0 is a densely defined positive selfadjoint linear operator on a real Hilbert space H, with compact inverse and B0 is a linear map in diagonal form. It is proved here that the classical sufficient ad-condition of Jurdjevic-Quinn and Ball-Slemrod with the feedback control u = ⟨yt, B0y⟩H implies the strong stabilization. This result is derived from a general compactness...
Jean-François Couchouron (2011)
ESAIM: Control, Optimisation and Calculus of Variations
This paper deals with feedback stabilization of second order equations of the form ytt + A0y + u (t) B0y (t) = 0, t ∈ [0, +∞[, where A0 is a densely defined positive selfadjoint linear operator on a real Hilbert space H, with compact inverse and B0 is a linear map in diagonal form. It is proved here that the classical sufficient ad-condition of Jurdjevic-Quinn and Ball-Slemrod with the feedback control u = ⟨yt, B0y⟩H implies the strong stabilization. This result is derived from a general compactness theorem...
Philippe Benilan, Petra Wittbold (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Philippe Benilan, Petra Wittbold (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like where the function is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory.
Lisok, A.L., Trifonov, A.Yu., Shapovalov, A.V. (2005)
Sibirskij Matematicheskij Zhurnal
Hernán R. Henríquez, Genaro Castillo G. (2003)
Annales Polonici Mathematici
We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
J. Tabor (1978)
Aequationes mathematicae
Guo, Bao-Zhu, Song, Qian (1995)
Journal of Applied Mathematics and Stochastic Analysis
Grinfeld, Michael, Stoleriu, Iulian (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Lorenza Tonetto (2001)
Bollettino dell'Unione Matematica Italiana
Budzyńska, Monika, Kuczumow, Tadeusz, Reich, Simeon (1998)
Abstract and Applied Analysis
Li, Xue-Song, Kim, Jong Kyu, Huang, Nan-Jing (2009)
Journal of Inequalities and Applications [electronic only]
Atsushiba, Sachiko, Takahashi, Wataru (2005)
Fixed Point Theory and Applications [electronic only]