Results 31 to 40 of about 14,922,818 (371)
Monotone iterative technique for a nonlinear fractional q-difference equation of Caputo type
, 2016 By establishing a comparison theorem and applying the monotone iterative technique combined with the method of lower and upper solutions, we investigate the existence of extremal solutions of the initial value problem for fractional q-difference equation
Guotao Wang +3 more
semanticscholar +1 more source
On a Higher-Order Difference Equation
Discrete Dynamics in Nature and Society, 2010 We describe in an elegant and short way the behaviour of positive solutions of the higher-order difference equation xn=cxn−pxn−p−q/xn−q, n∈ℕ0, where p,q∈ℕ and c>0, extending some recent results in the literature.
Bratislav D. Iričanin, Wanping Liu
doaj +1 more source
Representation of solutions of a solvable nonlinear difference equation of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic +3 more
doaj +1 more source
Hyers-Ulam stability of Pielou logistic difference equation
, 2017 We investigate Hyers-Ulam stability of the first order difference equation xi+1 = axi+b cxi+d , where ad− bc = 1, c 6= 0 and |a+ d| > 2. It has Hyers-Ulam stability if the initial point x0 lies in some definite interval of R.
Soon-Mo Jung, Y. Nam
semanticscholar +1 more source
Well-posedness of difference elliptic equation
Discrete Dynamics in Nature and Society, 1997 The exact with respect to step h∈(0,1] coercive inequality for solutions in Ch of difference elliptic equation is established.
Pavel E. Sobolevskii
doaj +1 more source
ON SOLVABILITY OF ONE DIFFERENCE EQUATION
Проблемы анализа, 2017 We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides.
I. A. Chernov
doaj +1 more source
Hyers-Ulam stability of elliptic Möbius difference equation
, 2017 The linear fractional map on the Riemann sphere with complex coefficients is called Möbius map. If satisfies , then is called elliptic Möbius map. Let be the solution of the elliptic Möbius difference equation for every . We show that the sequence on the
Y. Nam
semanticscholar +1 more source
AIMS Mathematics, 2023 We give detailed theoretical explanations for getting the closed-form formulas and representations for the general solutions to four special cases of a class of nonlinear difference equations of second order considered in the literature, present an ...
Stevo Stević
doaj +1 more source
Differential-difference equations reducible to difference and q-difference equations
Computers & Mathematics with Applications, 2001 Asymptotic properties of solutions of the differential-difference equation \[ x'(qt+1)=h(x(t))x'(t), \quad t\geq 0,\;q\geq 1 \tag{*} \] are investigated. Let \(\varphi\in C^1([0,1];\mathbf R)\) satisfies \(\varphi'(1)=h(\varphi(0))\varphi'(0)\). A solution \(x\) of (*) satisfying \(x(t)=\varphi(t)\), \(t\in [0,1)\), is denoted by \(x_{\varphi}\).
openaire +1 more source
On an Exponential-Type Fuzzy Difference Equation
Advances in Difference Equations, 2010 Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference equation , , , where and the initial values
Stefanidou G +2 more
doaj +2 more sources