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Advances in Continuous and Discrete Models

Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 98 of 99

  1. We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear...

    Authors: Mouffak Benchohra, Samira Hamani and Johnny Henderson
    Citation: Advances in Difference Equations 2006 2006:060860
    Content type: Research Article Published on:

  4. We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of func...

    Authors: Ravi P Agarwal, Victoria Otero–Espinar, Kanishka Perera and Dolores R Vivero
    Citation: Advances in Difference Equations 2006 2006:038121
    Content type: Research Article Published on:

  5. We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales. The results extend previous work on both...

    Authors: Douglas R Anderson and Ruyun Ma
    Citation: Advances in Difference Equations 2006 2006:059572
    Content type: Research Article Published on:

  6. Essentially nonlinear difference equations in a Euclidean space are considered. Conditions for the existence of periodic solutions and solution estimates are derived. Our main tool is a combined usage of the r...

    Authors: MI Gil'
    Citation: Advances in Difference Equations 2006 2006:039419
    Content type: Research Article Published on:

  12. Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established. The results are obtained by the u...

    Authors: Ch G Philos and IK Purnaras
    Citation: Advances in Difference Equations 2006 2006:078470
    Content type: Research Article Published on:

  14. We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last ha...

    Authors: Douglas R Anderson, Robert J Krueger and Allan C Peterson
    Citation: Advances in Difference Equations 2006 2006:094051
    Content type: Research Article Published on:

  16. Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii's fixed point theorem, existence crite...

    Authors: Zhi-qiang Zhu, Gen-qiang Wang and Sui Sun Cheng
    Citation: Advances in Difference Equations 2006 2006:047654
    Content type: Research Article Published on:

  17. This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations. The unique solvability...

    Authors: Pham Ky Anh and Le Cong Loi
    Citation: Advances in Difference Equations 2006 2006:043092
    Content type: Research Article Published on:

  19. The classical theory of homogeneous and inhomogeneous linear difference equations with constant coefficients on the set of integers or nonnegative integers provides effective solution methods for a wide class ...

    Authors: Ágota Orosz
    Citation: Advances in Difference Equations 2006 2006:051427
    Content type: Research Article Published on:

  20. A method for determination and two methods for approximation of the domain of attraction D a (0) of the asymptotically stable zero steady state of an autonomous, ℝ-analytical, di...

    Authors: St Balint, E Kaslik, AM Balint and A Grigis
    Citation: Advances in Difference Equations 2006 2006:023939
    Content type: Research Article Published on:

  21. 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
    Content type: Research Article Published on:

  22. 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
    Content type: Research Article Published on:

  24. 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
    Content type: Research Article Published on:

  29. We prove that if there exists α ≤ β, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n) = f(n,u(n));n ∈ I 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
    Content type: Research Article Published on:

  31. 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
    Content type: Research Article Published on:

  32. 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
    Content type: Research Article Published on:

  33. 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
    Content type: Research Article Published on:

  36. 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
    Content type: Research Article Published on:

  37. 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
    Content type: Research Article Published on:

  39. 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
    Content type: Research Article Published on:

  40. 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
    Content type: Research Article Published on:

  43. 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
    Content type: Research Article Published on:

  45. 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
    Content type: Research Article Published on:

  46. 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
    Content type: Research Article Published on:

  48. 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
    Content type: Research Article Published on:
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  • Citation Impact 2023
    Journal Impact Factor: 3.1
    5-year Journal Impact Factor: 2.3
    Source Normalized Impact per Paper (SNIP): 1.007
    SCImago Journal Rank (SJR): 0.504

    Speed 2023
    Submission to first editorial decision (median days): 18
    Submission to acceptance (median days): 206

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  • ISSN: 2731-4235 (electronic)