The stability equation with periodic coefficients

On the Reciprocal Difference Equation with Maximum and Periodic Coefficients

We study the nonlinear difference equation xn = max { An xn−1 , Bn xn−2k−1 } , n ∈ N0, where k is any fixed positive integer and the coefficients An,Bn are positive and periodic with the same period 2. The special case when k = 1 has been investigated earlier by Mishev, Patula and Voulov. Here we extend their results to the general case. AMS subject classification: 39A10.

Boundedness, Attractivity, and Stability of a Rational Difference Equation with Two Periodic Coefficients

Stability of the 2D Fornasini-Marchesini model with periodic coefficients

The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. These filters have applications in filtering video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The considered system is represented in state space by the first model of Fornasini-Marchesini with periodic coefficients. Then the stability of this...

The Stability of Differential Equations with Periodic Coefficients.

1 Am. J. Math.,, 47, 140-147 (1925). 2 Mitchell, H. H., Trans. Am. Math. Soc., 17, 167 (1916). 3 Vandiver, H. S., these PROCEEDINGS, 28, 25 (1942). 4 Hilbert, D., Gesammelte Abhandlungen, Bd. I, Berlin, Springer (1932), pp. 199, 203. 5The derivations of the formulas (12)-(20) which follow resemble some of the steps in our previous paper,' but from then on the treatment is a bit different. 6 Van...

Stability of the Hartree equation with time-dependent coefficients