Global nonexistence of solution for coupled nonlinear Klein-Gordon with degenerate damping and source terms [PDF]
, 2022 In this article we consider a coupled system of nonlinear Klein-Gordon equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solutions by concavity method.
KHALILI, Zineb +2 more
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Global nonexistence of solutions to system of Klein-Gordon equations with degenerate damping and strong source terms in viscoelasticity [PDF]
, 2022 In this paper, we consider a system of nonlinear viscoelastic wave equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solution by concavity method.
OUCHENANE, Djamel +2 more
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Exponential growth of solutions with L_p-norm of a nonlinear viscoelastic wave equation with strong damping and source and delay terms [PDF]
, 2023 In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and delay terms. We show the exponential growth of solutions with Lₚ-norm. i.e.
OUCHENANE, Djamel +3 more
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Global existence and stability of solution for a p−Kirchhoff type hyperbolic equation with damping and source terms [PDF]
, 2022 In this paper, we consider a nonlinear p−Kirchhoff type hyperbolic equation with damping and source terms f utt − M Ω |∇u|p dx ∆pu + |ut| m−2 ut = |u| r−2 u.
MAOUNI, Messaoud +2 more
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Well-posedness and exponential decay for a laminated beam with distributed delay term [PDF]
, 2022 In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier’s law effective in the rotation angle ...
Abdelhak DJEBABLA, Abdelhak DJEBABLA +2 more
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Analysis of a planar differential system arising from hematology [PDF]
, 2018 A complete analysis of a planar dynamic system arising from hematology is provided to confirm the conclusions of computer simulations. Existence and uniqueness for the Cauchy problem, boundedness of solutions and their asymptotic behavior to infinity are
PRECUP, Radu, PARAJDI, Lorand Gabriel
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The Dynamics of an HIV/AIDS Model with Screened Disease Carriers
Computational and Mathematical Methods in Medicine, Volume 10, Issue 4, Page 287-305, 2009., 2009 The presence of carriers usually complicates the dynamics and prevention of a disease. They are not recognized as disease cases themselves unless they are screened and they usually spread the infection without them being aware. We argue that this has been one of the major causes of the spread of human immunodeficiency virus (HIV).
S. D. Hove-Musekwa, F. Nyabadza
wiley +1 more source
Modelling Immune Response and Drug Therapy in Human Malaria Infection
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 143-163, 2008., 2008 A new intra‐host model of malaria that describes the dynamics of the blood stages of the parasite and its interaction with red blood cells and immune effectors is proposed. Local and global stability of the disease free equilibrium are investigated. Conditions for existence and uniqueness of the endemic equilibrium are derived.
C. Chiyaka, W. Garira, S. Dube
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On the uniform exponential stability of linear skew‐product semiflows
Journal of Function Spaces, Volume 4, Issue 2, Page 145-161, 2006., 2006 The problem of uniform exponential stability of linear skew‐product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and some admissibility‐type condition.
Ciprian Preda, Björn Birnir
wiley +1 more source
Stability analysis of periodically switched linear systems using Floquet theory
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 1-10, 2004., 2004 Stability of a switched system that consists of a set of linear time invariant subsystems and a periodic switching rule is investigated. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability. It is shown that there exists a slow switching rule that achieves exponential stability if at least one of these ...
Cevat Gökçek
wiley +1 more source