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We extend some results obtained in 1998 and 1999 by studying the periodicity of the solutions of the fuzzy difference equations xn+1 = max{A/x n , A/xn-1,...,A/xn-k}, xn+1 = max{
Citation: Advances in Difference Equations 2005 2005:947038
We present an application of difference equations to number theory by considering the set of linear second-order recursive relations,
,
Citation: Advances in Difference Equations 2005 2005:868367
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...
Citation: Advances in Difference Equations 2005 2005:858671
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...
Citation: Advances in Difference Equations 2005 2005:718682
We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.
Citation: Advances in Difference Equations 2005 2005:690272
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...
Citation: Advances in Difference Equations 2005 2005:676580
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...
Citation: Advances in Difference Equations 2005 2005:517967
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.
Citation: Advances in Difference Equations 2005 2005:193525
Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It...
Citation: Advances in Difference Equations 2005 2005:947201
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 ...
Citation: Advances in Difference Equations 2005 2005:548479
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...
Citation: Advances in Difference Equations 2005 2005:514375
This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show ...
Citation: Advances in Difference Equations 2005 2005:471586
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...
Citation: Advances in Difference Equations 2005 2005:141356
We present a study of complex discrete vector Sturm-Liouville problems, where coefficients of the difference equation are complex numbers and the strongly coupled boundary conditions are nonselfadjoint. Moreov...
Citation: Advances in Difference Equations 2005 2005:101430
We study the trichotomy character, the stability, and the oscillatory behavior of the positive solutions of a fuzzy difference equation.
Citation: Advances in Difference Equations 2004 2004:965731
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 ...
Citation: Advances in Difference Equations 2004 2004:876467
This paper is concerned with delayed generalized 2D discrete logistic systems of the form
, where σ and τ are positive integers,
Citation: Advances in Difference Equations 2004 2004:796950
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 ...
Citation: Advances in Difference Equations 2004 2004:739439
We prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general n th problem in time scales with linear dependence on the i th Δ-derivatives for i = 1,2,…,n, togethe...
Citation: Advances in Difference Equations 2004 2004:438603
Based on a continuation theorem of Mawhin, positive periodic solutions are found for difference equations of the form
, n∈ℤ.
Citation: Advances in Difference Equations 2004 2004:340697
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...
Citation: Advances in Difference Equations 2004 2004:932415
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, ...
Citation: Advances in Difference Equations 2004 2004:852092
We will give the generalization of a recently developed functional-analytic method for studying linear and nonlinear, ordinary and partial, difference equations in the
...
Citation: Advances in Difference Equations 2004 2004:537067
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...
Citation: Advances in Difference Equations 2004 2004:532048
Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differe...
Citation: Advances in Difference Equations 2004 2004:513569
We study a family of three-point nonlocal boundary value problems (BVPs) for an n th-order linear forward difference equation. In particular, we obtain a maximum principle and determine sign properties of a corre...
Citation: Advances in Difference Equations 2004 2004:469624
Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differential-algebraic equations. Then we extend t...
Citation: Advances in Difference Equations 2004 2004:390451
We investigate the rate of convergence of solutions of some special cases of the equation
,
...
Citation: Advances in Difference Equations 2004 2004:901703
What is a differential equation? Certain objects may have different, sometimes equivalent representations. By using algebraic and geometrical methods as well as discrete relations, different representations of...
Citation: Advances in Difference Equations 2004 2004:791318
We present a new self-contained and rigorous proof of the smoothness of invariant fiber bundles for dynamic equations on measure chains or time scales. Here, an invariant fiber bundle is the generalization of ...
Citation: Advances in Difference Equations 2004 2004:572930
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...
Citation: Advances in Difference Equations 2004 2004:146482
We consider a nonhomogeneous linear delay difference equation with continuous variable and establish an asymptotic result for the solutions. Our result is obtained by the use of a positive root with an appropr...
Citation: Advances in Difference Equations 2004 2004:679264
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...
Citation: Advances in Difference Equations 2004 2004:612830
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...
Citation: Advances in Difference Equations 2004 2004:471072
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...
Citation: Advances in Difference Equations 2004 2004:387492
The general method of Lyapunov functionals construction which was developed during the last decade for stability investigation of stochastic differential equations with aftereffect and stochastic difference eq...
Citation: Advances in Difference Equations 2004 2004:262861
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Citation Impact
2.421 - 2-year Impact Factor
1.751 - 5-year Impact Factor
0.976 - Source Normalized Impact per Paper (SNIP)
0.677 - SCImago Journal Rank (SJR)
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Martin Bohner, Missouri University of Science and Technology, United States of America |
Martin's SpringerNature Publications
Elena Braverman, University of Calgary Canada |
Song Wang, Curtin University, Australia |
08 May 2020
04 September 2019
