Multiplicity of Periodic Solutions for a Higher Order Difference Equation
نویسندگان
چکیده
منابع مشابه
Triple Solutions for a Higher-order Difference Equation
In this paper, we are concerned with the following nth difference equations ∆y(k − 1) + f(k, y(k)) = 0, k ∈ {1, . . . , T}, ∆y(0) = 0, i = 0, 1, . . . , n− 2, ∆n−2y(T + 1) = α∆n−2y(ξ), where f is continuous, n ≥ 2, T ≥ 3 and ξ ∈ {2, . . . , T − 1} are three fixed positive integers, constant α > 0 such that αξ < T + 1. Under some suitable conditions, we obtain the existence result of at least th...
متن کاملExistence of Periodic Solutions for Higher-order Nonlinear Difference Equations
In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions.
متن کاملPositive periodic solutions for higher order functional difference equations
In this paper, we apply a fixed point theorem to obtain sufficient conditions for the existence of positive periodic solutions for two classes of higher-order functional difference equations. AMS subject classification: 39A10.
متن کاملPOSITIVE PERIODIC SOLUTIONS FOR HIGHER-ORDER FUNCTIONAL q-DIFFERENCE EQUATIONS
In this paper, using the recently introduced concept of periodic functions in quantum calculus, we study the existence of positive periodic solutions of a certain higher-order functional q-difference equation. Just as for the well-known continuous and discrete versions, we use a fixed point theorem in a cone in order to establish the existence of a positive periodic solution. This paper is dedi...
متن کاملMonotone Solutions of a Higher Order Neutral Difference Equation
A real sequence {xk} is said to be (∗)-monotone with respect to a sequence {pk} and a positive integer σ if xk > 0 and (−1)∆(xk − pkxk−σ) ≥ 0 for n ≥ 0. This paper is concerned with the existence of (∗)-monotone solutions of a neutral difference equation. Existence criteria are derived by means of a comparison theorem and by establishing explicit existence criteria for positive and/or bounded s...
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: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/925290