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Full-Text Articles in Physical Sciences and Mathematics
An Extension Of Sharkovsky’S Theorem To Periodic Difference Equations, Ziyad Alsharawi, James Angelos, Saber Elaydi, Leela Rakesh
An Extension Of Sharkovsky’S Theorem To Periodic Difference Equations, Ziyad Alsharawi, James Angelos, Saber Elaydi, Leela Rakesh
Saber Elaydi
We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties.
Asymptotic Stability Of Linear Difference Equations Of Advanced Type, Fozi Dannan, Saber Elaydi
Asymptotic Stability Of Linear Difference Equations Of Advanced Type, Fozi Dannan, Saber Elaydi
Saber Elaydi
Necessary and sufficient conditions are obtained for the asymptotic stability of difference equations of advanced typen of the form x(n) - ax(n+1) + bx(n+k) = 0, n = 0, 1, .. where a and b are arbitrary real numbers and k > 1. For a = 1, we establish an analogue of a result by Levin and May.
Transitional Probabilities For The Four-State Random Walk On A Lattice In The Presence Of Partially Reflecting Boundaries, Ramakrishna Janaswamy
Transitional Probabilities For The Four-State Random Walk On A Lattice In The Presence Of Partially Reflecting Boundaries, Ramakrishna Janaswamy
Ramakrishna Janaswamy
The four-state random walk (4RW) model, wherein the particle is endowed with two states of spin and two states of directional motion in each space coordinate, permits a stochastic solution of the Schrödinger equation (or the equivalent parabolic equation) without resorting to the usual analytical continuation in complex space of the particle trajectories. Analytical expressions are derived here for the various transitional probabilities in a 4RW by employing generating functions and eigenfunction expansions when the particle moves on a 1+1 space-time lattice with two-point boundary conditions. The most general case of dissimilar boundaries with partially reflecting boundary conditions is treated …
Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench
Functional Perturbations Of Nonoscillatory Second Order Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Systems Of Difference Equations With Asymptotically Constant Solutions, William F. Trench
Systems Of Difference Equations With Asymptotically Constant Solutions, William F. Trench
William F. Trench
No abstract provided.
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Invertibly Convergent Infinite Products Of Matrices, With Applications To Difference Equations, William F. Trench
Invertibly Convergent Infinite Products Of Matrices, With Applications To Difference Equations, William F. Trench
William F. Trench
No abstract provided.