Results 321 to 330 of about 14,780,959 (374)

A Differential-Difference Equation

SIAM Journal on Mathematical Analysis, 1987
Wimp shows that the hypergeometric polynomials \[ P_ n(z)=_{p+2}F_{p+1}(-n,n+\lambda,a_ p;b_{p+1};z),\quad n=0,1,...\quad, \] satisfies a certain differential-difference equation. Here we show that all ''common'' solutions to the standard differential equations and the standard difference equation satisfied by the \(P_ n(z)\) also satisfy the above ...
Waleed A. Al-Salam, Jerry L. Fields
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Difference Equations as Difference Analogues of Differential Equations

2011
Functional 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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Difference equations and their applications

Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics, 1959
This paper is intended to introduce the methods and literature of difference equations to engineers who are unaquainted with them or their wide applicability and power.
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Longitudinal Structural Equation Modeling

, 2015
1. 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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Difference equations with delay

Japan Journal of Industrial and Applied Mathematics, 2000
In 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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On Ulam Stability of a Linear Difference Equation in Banach Spaces

Bulletin of the Malaysian Mathematical Sciences Society, 2020
A. Baias, D. Popa
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Nonlinear difference equations

Nonlinear Analysis: Theory, Methods & Applications, 1982
IN THE NUMERICAL integration of nonlinear differential equations it is often possible to get ‘phantom solutions’ which are qualitatively quite different from the true solutions. Whether the behaviour of a numerical solution is a true reflection of a nonlinear phenomenon being modelled by the differential equation, or whether it is a mere consequence of
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Nonsymmetric Difference Equations

Journal of the Society for Industrial and Applied Mathematics, 1965
The purpose of this paper is to discuss several nonsymmetric difference equations. By this we mean that not all points are calculated by the same equation. Proofs of convergence will attempt to follow the methods of Richtmyer [4]. Nonsymmetric difference equations are well known at the present time. The Peaceman-Rachford alternating implicit scheme [3]
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On the solutions of a second-order difference equation in terms of generalized Padovan sequences

, 2018
Yacine Halim, J. Rabago
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Partial Differential Equations and Difference Equations

Proceedings of the American Mathematical Society, 1965
(1. 1) Pi(alax)y = ? (1 _ i _ m) where x = (x1, * , xn), a/ax = (a/ax1, *, O/0xn). The Pi's are assumed to be homogeneous polynomials with real coefficients. The term solution is used to include the generalized solutions. A generalized solution is any function continuous on R which is a uniform limit on compact subsets of CX solutions (see [2, p. 65]).
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