Results 211 to 220 of about 81,012 (245)

A general theory of linear finite-difference equations with a few applications

Journal of Mathematical Physics, 1977
Recently a new formalism has been developed giving the solutions in explicit form of multiterm linear homogeneous recursion relations with nonconstant coefficients. The basic idea was to relate this problem to the one of partitioning an interval into parts of given lengths.
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Linear Difference Equations. General Theory

2001
In two subsequent chapters we mainly consider a linear difference equation of the form $$\Phi (t,x(t)) \equiv x(t + n) + {\alpha _1}(t)x(t + n - 1) + ... + {\alpha _n}(t)x(t) = 0$$ (14.1) on the positive semi-axis J +={t : t > 0, t ≠ +∞}, n is a natural number, a i (t)are functions of the real argument t (i = 1, 2, ..., n), a n (t) ≢ 0 for t ≫
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A general solution of the second‐order difference equation occurring in diffraction theory

Radio Science, 1996
The second‐order difference equation, frequently encountered in diffraction of electromagnetic waves by a wedge‐shaped region, is studied, and the solution is given for an arbitrarily angled wedge. The solution is suitable for the Sommerfeld‐Maliuzhinets representation of the diffracted field.
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A prediction theory of random level distribution based on a generalized difference type of Fokker-Planck equation and its application to environmental noise and vibration, I: Theoretical study

Journal of Sound and Vibration, 1984
For a review see the following entry; Zbl 0545.60047.
Ohta, M., Hatakeyama, K., Yamada, H.
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A prediction theory of random level distribution based on a generalized difference type of Fokker-Planck equation and its application to environmental noise and vibration, II: Experimental study

Journal of Sound and Vibration, 1984
Summary: In part I, a procedure for solving the short time prediction problem in terms of the transition probability distribution has been theoretically derived, for discrete time-sampled data. Explicit algorithms for estimating the non-stationary moment statistics of arbitrary order also have been derived, based on a generalized difference equation of
Ohta, M., Hatakeyama, K., Nishimura, K.
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On a generalized max-type difference equation from automatic control theory

Nonlinear Analysis: Theory, Methods & Applications, 2010
The boundedness character of positive solutions of the difference equation of the form \[ x_{n+1}=\max\left\{A,\frac{x_n^p}{x_{n-1}^qx_{n-2}^r}\right\},\quad n\in\mathbb N_0, \] is studied.
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Generalized Algebraic Difference Approach: Theory Based Derivation of Dynamic Site Equations with Polymorphism and Variable Asymptotes

Forest Science, 2000
Abstract Biologically realistic site models require the ability to concurrently express variable asymptotes and polymorphism in curve shapes. Moreover, it is only logical and rational to require that these models be invariant to changes in the index or base age.
C.J. Cieszewski, R.L. Bailey
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Periodicity in General Delay Non-linear Difference Equations Using Fixed Point Theory

Journal of Difference Equations and Applications, 2003
Using Schaefer's fixed-point theorem, enabling us to show that if there is an a priori bound on all possible T-periodic solutions of then there is a T-periodic solution. The a priori bound will be established by different methods including non-negative Lyapunov functionals. Examples illustrating the developed theory are provided.
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General solution of Bateman equations using Cauchy products and the Theory of Divided Differences

Annals of Nuclear Energy, 2023
Carlos-Antonio Cruz-López, Gilberto Espinosa-Paredes, Juan-Luis François   +2 more
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The General Theory of Linear q-Difference Equations

American Journal of Mathematics, 1912
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