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  1. We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of ...

    Authors: Lin-Lin Wang, Wan-Tong Li and Pei-Hao Zhao
    Citation: Advances in Difference Equations 2004 2004:739439
  2. This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of...

    Authors: Abdelfatah Bouziani and Nabil Merazga
    Citation: Advances in Difference Equations 2004 2004:932415
  3. We propose two models for the description of the dynamics of an AIDS epidemic and of the effect of a combined-drugs AIDS treatment based on difference equations. We show that our interacting population model, ...

    Authors: K M Tamizhmani, A Ramani, B Grammaticos and A S Carstea
    Citation: Advances in Difference Equations 2004 2004:852092
  4. Nonnegative and compartmental dynamical system models are widespread in biological, physiological, and pharmacological sciences. Since the state variables of these systems are typically masses or concentration...

    Authors: Vijay Sekhar Chellaboina, Wassim M Haddad, James M Bailey and Jayanthy Ramakrishnan
    Citation: Advances in Difference Equations 2004 2004:532048
  5. This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a pr...

    Authors: Johnny Henderson, Allan Peterson and Christopher C Tisdell
    Citation: Advances in Difference Equations 2004 2004:146482
  6. In analyzing large-scale systems, it is often desirable to treat the overall system as a collection of interconnected subsystems. Solution properties of the large-scale system are then deduced from the solutio...

    Authors: Wassim M Haddad, Qing Hui, Vijaysekhar Chellaboina and Sergey Nersesov
    Citation: Advances in Difference Equations 2004 2004:612830
  7. We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F-solu...

    Authors: Małgorzata Migda, Anna Musielak and Ewa Schmeidel
    Citation: Advances in Difference Equations 2004 2004:471072
  8. Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached. The main tool us...

    Authors: NC Apreutesei
    Citation: Advances in Difference Equations 2004 2004:387492

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