Note on a nonlinear difference equation with periodic coefficients and constant delays
نویسندگان
چکیده
منابع مشابه
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.
متن کاملCritical 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...
متن کاملPeriodic solution for a delay nonlinear population equation with feedback control and periodic external source
In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides the extension of some previous results obtained in other studies. We give a illustrative e...
متن کاملOn 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.
متن کاملEventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions
For nonlinear difference equations of the form xn F n, xn−1, . . . , xn−m , it is usually difficult to find periodic solutions. In this paper, we consider a class of difference equations of the form xn anxn−1 bnf xn−k , where {an}, {bn} are periodic sequences and f is a nonlinear filtering function, and show how periodic solutions can be constructed. Several examples are also included to illust...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1998
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(98)00077-9