Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales [PDF]
, 2013 In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such that the considered equation admits a ...
Tokmak, Fatma +3 more
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Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
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On the solutions of a system of (2p+1) difference equations of higher order
Miskolc Mathematical Notes, 2021 In this paper we represent the well-defined solutions of the system of the higher-order rational difference equations x j) n+1 = 1+2x j+1)mod(2p+1) n−k 3+ x j+1)mod(2p+1) n−k , n,k, p ∈ N0 in terms of Fibonacci and Lucas sequences, where the initial ...
A. Khelifa, Y. Halim, M. Berkal
semanticscholar +1 more source
Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
Open Mathematics, 2019 In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
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Estimates for the norms of solutions of difference systems with several delays
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 27, Page 1447-1453, 2004., 2004 We derive explicit stability conditions for time‐dependent difference equations with several delays in Cn (the set of n complex vectors) and estimates for the size of the solutions. The growth rates obtained here are not necessarily decay rates.
Rigoberto Medina
wiley +1 more source
Representation of solutions of a two-dimensional system of difference equations
, 2020 In this paper we give a representation formula for the general solution to the following two-dimensional system of difference equations xn+1 = yn−1xn−2 yn(a+byn−1xn−2) , yn+1 = xn−1yn−2 xn(a+bxn−1yn−2) , n ∈ N0 where parameters a,b and initial values x−2,
Y. Halim, A. Khelifa, Massaoud Berkal
semanticscholar +1 more source
Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004 We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley +1 more source
Some scalar difference inequalities [PDF]
, 2020 In this paper we prove some scalar difference inequalities using the concept of under and over function with respect to solution of initial value problem.
K L Bondar
core
Dynamical analysis of discrete time equations with a generalized order
Alexandria Engineering Journal, 2023 Some natural phenomena that arise in nonlinear sciences can be sometimes discussed using discrete-time systems. In this work, we investigate the periodicity, boundedness, oscillation, stability, and some exact solutions of nonlinear difference equations ...
Lama Sh. Aljoufi +2 more
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