Linear neutral partial differential equations: A semigroup approach.
Nagel, Rainer, Nguyen Thieu Huy (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A duality principle for delay equations”
Linear neutral partial differential equations: A semigroup approach.
Adjoints of solution semigroups and identifiability of delay differential equations in Hilbert spaces.
Mastinšek, M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Global existence results for second order neutral functional differential equation with state-dependent delay
Mouffak Benchohra, Imene Medjadj (2016)
Commentationes Mathematicae Universitatis Carolinae
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Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Existence of solutions for delay evolution equations with nonlocal conditions
Xuping Zhang, Yongxiang Li (2017)
Open Mathematics
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In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results of mild solutions without the assumption of compactness on the associated semigroup. Our results improve and generalize some related conclusions on this issue. Moreover, we present an example to illustrate the application of the main results. ...
Global existence and energy decay of solutions to a Bresse system with delay terms
Abbes Benaissa, Mostefa Miloudi, Mokhtar Mokhtari (2015)
Commentationes Mathematicae Universitatis Carolinae
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We consider the Bresse system in bounded domain with delay terms in the internal feedbacks and prove the global existence of its solutions in Sobolev spaces by means of semigroup theory under a condition between the weight of the delay terms in the feedbacks and the weight of the terms without delay. Furthermore, we study the asymptotic behavior of solutions using multiplier method.
Four variations on a theme of S. B. Presic concerning semigroup functional equations.
Keckic, Jovan D. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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On analyticity of Ornstein-Uhlenbeck semigroups
Beniamin Goldys (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Let be a transition semigroup of the Hilbert space-valued nonsymmetric Ornstein-Uhlenbeck process and let denote its Gaussian invariant measure. We show that the semigroup is analytic in if and only if its generator is variational. In particular, we show that the transition semigroup of a finite dimensional Ornstein-Uhlenbeck process is analytic if and only if the Wiener process is nondegenerate.
Stability result for a thermoelastic Bresse system with delay term in the internal feedback
Lamine Bouzettouta, Sabah Baibeche, Manel Abdelli, Amar Guesmia (2023)
Mathematica Bohemica
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The studies considered here are concerend with a linear thermoelastic Bresse system with delay term in the feedback. The heat conduction is also given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method. Furthermore, based on the energy method, we establish an exponential stability result depending of a condition on the constants of the system that was first...