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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 98 of 98

  1. We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities...

    Authors: Allan C Peterson and Youssef N Raffoul
    Citation: Advances in Difference Equations 2005 2005:858671
  2. Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, w...

    Authors: Mariella Cecchi, Zuzana Došlá and Mauro Marini
    Citation: Advances in Difference Equations 2005 2005:676580
  3. We address finding solutions y ∈ ʗ2 (ℝ+) of the special (linear) ordinary differential equation xy''(x) + (ax2 + b) y' (x) + (cx + d)y(x) = 0 for all x ∈ ℝ+, where a, b, c, d ∈ ℝ are constant parameters. This wil...

    Authors: Moritz Simon and Andreas Ruffing
    Citation: Advances in Difference Equations 2005 2005:517967
  4. We present existence results for discontinuous first- and continuous second-order dynamic equations on a time scale subject to fixed-time impulses and nonlinear boundary conditions.

    Authors: F M Atici and D C Biles
    Citation: Advances in Difference Equations 2005 2005:193525
  5. Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation xn+1 = (γxn-1 + δxn-2)/(x n ...

    Authors: E Camouzis, R DeVault and G Papaschinopoulos
    Citation: Advances in Difference Equations 2005 2005:548479
  6. Infinite-dimensional difference operators are studied. Under the assumption that the coefficients of the operator have limits at infinity, limiting operators and associated polynomials are introduced. Under so...

    Authors: N C Apreutesei and V A Volpert
    Citation: Advances in Difference Equations 2005 2005:514375
  7. We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prov...

    Authors: Petr Stehlík
    Citation: Advances in Difference Equations 2005 2005:141356
  8. Let α(t) be the limiting ratio of the generalized Fibonacci numbers produced by summing along lines of slope t through the natural arrayal of Pascal's triangle. We prove that ...

    Authors: Donniell E Fishkind
    Citation: Advances in Difference Equations 2004 2004:876467
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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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