Results 71 to 80 of about 1,127 (130)
The Abel-Zeilberger Algorithm [PDF]
, 2011 We use both Abel's lemma on summation by parts and Zeilberger's algorithm to find recurrence relations for definite summations. The role of Abel's lemma can be extended to the case of linear difference operators with polynomial coefficients.
Chen, William Y. C. +2 more
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Some Generalizations of Prešić Type Mappings and Applications
, 2015 In this paper, we prove some common fixed point theorems for the mappings satisfying Prešić type contractive conditions in metric spaces. Our results generalize and extend the result of Prešić for some new type of contractive conditions. The common fixed
S. Shukla, S. Radenović
semanticscholar +1 more source
Solvable subclasses of a class of nonlinear second-order difference equations
Advances in Nonlinear Analysis, 2016 We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are ...
Stević Stevo
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Existence of extremal periodic solutions for first-order functional differential equations [PDF]
, 2018 In this paper, we study the existence of periodic extremal solutions for the first-order functional differential ...
Wang, J. (Jiao)
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Oscillation criteria for second-order nonlinear dynamic equations
Advances in Differential Equations, 2012 This paper concerns the oscillation of solutions to the second-order dynamic equation (r(t)xΔ(t))Δ+p(t)xΔ(t)+q(t)f(xσ(t))=0, on a time scale T which is unbounded above. No sign conditions are imposed on r(t), p(t), and q(t).
T. Hassan
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Nonautonomous Dynamical Systems, 2018 By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented.
Negi Shekhar Singh +2 more
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Oscillation of nonlinear third order perturbed functional difference equations
Nonautonomous Dynamical Systems, 2019 This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference ...
Dinakar P. +2 more
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Global dynamics of two systems of exponential difference equations by Lyapunov function
, 2014 In this paper, we study the boundedness character and persistence, existence and uniqueness of the positive equilibrium, local and global behavior, and rate of convergence of positive solutions of two systems of exponential difference equations ...
A. Khan
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Results on the deficiencies of some differential-difference polynomials of meromorphic functions
Open Mathematics, 2016 In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c).
Zheng Xiu-Min, Xu Hong-Yan
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On the solutions of some nonlinear systems of difference equations
, 2013 In this paper, we deal with the existence of solutions and the periodicity character of the following systems of rational difference equations with order three: xn+1=xnyn−2yn−1(±1±xnyn−2),yn+1=ynxn−2xn−1(±1±ynxn−2), where the initial conditions x−2, x ...
E. Elsayed, H. El-Metwally
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