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Difference equation vs differential equation on different scales
International Journal of Numerical Methods for Heat & Fluid Flow, 2020PurposeThe purpose of this paper is to demonstrate that the numerical method is not everything for nonlinear equations. Some properties cannot be revealed numerically; an example is used to elucidate the fact.Design/methodology/approachA variational principle is established for the generalized KdV – Burgers equation by the semi-inverse method, and the ...
Fei-Yu Ji +2 more
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Difference equations with delay
Japan Journal of Industrial and Applied Mathematics, 2000In this note we employ combinatorial arguments to count and classify certain periodic solutions of the delayed difference equationx(n) = f(x(n − k)), withk ≥ 2 given andn ∈ ℤ, The periodic solutions that we consider are formed by combiningk copies of anm- periodic solution of the “ordinary” difference equationx(n) =f(x(n- 1)).
Stephan A. van Gils, Odo Diekmann
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Symmetry, reductions and exact solutions of the difference equation
, 2016We investigate the solutions of the second-order difference equation using a group of transformations (Lie symmetries) that leaves the solutions invariant.
M. Folly-Gbetoula
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Dynamics of the Rational Difference Equation
, 2014In this article, we study the periodicity, the boundedness and the global stab ility of the positive solutions of the following nonlinear difference ...
M. A. El-Moneam, E. Zayed
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STRUCTURAL EQUATION MODELING IN PRACTICE: A REVIEW AND RECOMMENDED TWO-STEP APPROACH
, 1988In this article, we provide guidance for substantive researchers on the use of structural equation modeling in practice for theory testing and development.
James C. Anderson, D. Gerbing
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Linear integral equations and nonlinear difference-difference equations
Physica A: Statistical Mechanics and its Applications, 1984Abstract In this paper we present a systematic method to obtain various integrable nonlinear difference-difference equations and the associated linear integral equations from which their solutions can be inferred. It is argued that these difference-difference equations can be regarded as arising from Bianchi identities expressing the commutativity of
H.W. Capel +3 more
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Difference Equations as Difference Analogues of Differential Equations
2011Functional differential equations arise in the modeling of hereditary systems such as ecological and biological systems, chemical and mechanical systems and many-many other. The long-term behavior and stability of such systems is an important area for investigation. For example, will a population decline to dangerously low levels?
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BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR DIFFERENCE EQUATION
, 2012In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation xn+1 = Axn + xn 1 B + xn 1 ; n = 0; 1; ; where (xn) is a sequence of positive fuzzy number, A;B are positive fuzzy numbers and ...
Qianhong Zhang, Li-hui Yang, Daixi Liao
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Some differences between difference equations and differential equations
Journal of Difference Equations and Applications, 1996In this expository paper we discuss some instances in which analogues which might be expected between the behavior of solutions of differential equations and difference equations fail to hold, focussing particularly on questions related to boundedness and oscillation.
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Longitudinal Structural Equation Modeling
, 20151. Review of Some Key Latent Variable Principles 2. Longitudinal Measurement Invariance 3. Structural Models for Comparing Dependent Means and Proportions 4. Fundamental Concepts of Stability and Change 5. Cross-Lagged Panel Models 6.
J. Newsom
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