The five-point difference 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

On Homoclinic Solutions of a Semilinear p-Laplacian Difference Equation with Periodic Coefficients

We study the existence of homoclinic solutions for semilinear p−Laplacian difference equations with periodic coefficients. The proof of the main result is based on Brezis–Nirenberg’s Mountain Pass Theorem. Several examples and remarks are given.

Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients

and Applied Analysis 3 is conditionally oscillatory with the oscillation constant K 1/4. It is known see 22 that the equation [ r t y′ t ]′ γs t t2 y t 0, 1.5 where r, s are positive periodic continuous functions, is conditionally oscillatory as well. We also refer to 23 and 24–29 which generalize 23 for the discrete case, see 30 . Since the Euler difference equation Δyk γ k 1 k yk 1 0 1.6 is c...

Eigenvalue Estimates for Hill’s Equation with Periodic Coefficients

In this paper, by using the new form of discriminant, a set of new eigenvalue estimates of x ′′ + λp(t)x = 0 is obtained. Mathematics Subject Classification: 34B30, 34D08