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Page 96 of 97

  1. We investigate the functional equation with generalized dilation in the special weighted functional spaces. We provide some sufficient conditions for the existence of the inversion operator in the same form an...

    Authors: Pavel Plaschinsky
    Citation: Advances in Difference Equations 2006 2006:027512
  2. This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types. Monotone domain decomposition algor...

    Authors: Igor Boglaev and Matthew Hardy
    Citation: Advances in Difference Equations 2006 2006:070325
  3. The study of the stability properties of numerical methods leads to considering linear difference equations depending on a complex parameter q. Essentially, the associated characteristic polynomial must have cons...

    Authors: L Aceto, R Pandolfi and D Trigiante
    Citation: Advances in Difference Equations 2006 2006:019276
  4. We prove that if there exists αβ, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n) = f(n,u(n));nI N ≡ {0,...,N-1},u(0) = u(N), with f

    Authors: Alberto Cabada, Victoria Otero-Espinar and Dolores Rodríguez-Vivero
    Citation: Advances in Difference Equations 2005 2005:865865
  5. We investigate the asymptotic behavior of the recursive difference equation yn+1 = (α+βy n )/(1+yn-1) when the parameters α < 0 and β ∈ ℝ. In particular, we establish the bounded...

    Authors: Mohamed Ben Rhouma, M A El-Sayed and Azza K Khalifa
    Citation: Advances in Difference Equations 2005 2005:415435
  6. We develop thermodynamic models for discrete-time large-scale dynamical systems. Specifically, using compartmental dynamical system theory, we develop energy flow models possessing energy conservation, energy ...

    Authors: Wassim M Haddad, Qing Hui, Sergey G Nersesov and Vijaysekhar Chellaboina
    Citation: Advances in Difference Equations 2005 2005:248040
  7. Based on the fixed-point index theory for a Banach space, positive periodic solutions are found for a system of delay difference equations. By using such results, the existence of nontrivial periodic solutions...

    Authors: Guang Zhang, Shugui Kang and Sui Sun Cheng
    Citation: Advances in Difference Equations 2005 2005:218982
  8. 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
  9. We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by (t + 1) + cy(t) = f (y(t)), where f: ℝ → ℝ and β > 0 is continuous. In our...

    Authors: Jesús Rodriguez and Debra Lynn Etheridge
    Citation: Advances in Difference Equations 2005 2005:718682
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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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