Results 41 to 50 of about 13,830,771 (328)
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We present general solutions to four classes of nonlinear difference equations, as well as some representations of the general solutions for two of the classes in terms of specially chosen solutions to linear homogeneous difference equations with ...
Stevo Stevic
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Dynamics and behavior of a higher order rational difference equation
, 2016 We study the global result, boundedness, and periodicity of solutions of the difference equation xn+1 = a+ bxn−l + cxn−k dxn−l + exn−k , n = 0, 1, . . . , where the parameters a, b, c, d, and e are positive real numbers and the initial conditions x−t, x ...
E. Elsayed
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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
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The Bessel difference equation
, 2016 . We define a new difference equation analogue of the Bessel differ-ential equation and investigate the properties of its solution, which we express using a 2 F 1 hypergeometric function. We find analogous formulas for Bessel function recurrence relations, a
M. Bohner, Tom Cuchta
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Transformations of Difference Equations I [PDF]
Advances in Difference Equations, 2010 We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation. We also show how Dirichlet and non-Dirichlet boundary conditions transform as well as how the spectra and
Sonja Currie, Anne D. Love
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Effects of chronic browsing on life‐history traits of an irruptive large herbivore population
Population Ecology, EarlyView.This study aimed to determine the relationship between diet quality, body mass, and size (hind foot length), and female reproduction and sought to identify the mechanism by which high density under severe food limitations is maintained. Our results demonstrated that sika deer introduced to Nakanoshima Island have maintained high densities through high ...
Koichi Kaji +9 more
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Some results of ϖ-Painlevé difference equation
Advances in Difference Equations, 2018 In this article, we mainly investigate some properties of two types of difference equations Y(ϖz)+Y(z)+Y(zϖ)=ξz+oY(z)+v $$ Y(\varpi z)+Y(z)+Y\biggl(\frac{z}{\varpi}\biggr)=\frac{\xi z+o}{Y(z)}+v $$ and Y(ϖz)+Y(zϖ)=ξz+oY(z)+vY2(z). $$ Y(\varpi z)+Y\biggl(\
Yong Liu, Yuqing Zhang
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On the Hyers-Ulam Stability of the First-Order Difference Equation
, 2016 We prove Hyers-Ulam stability of the first-order difference equation of the form , where is a given function with some moderate features. Moreover, we introduce some conditions for the function under which the difference equation is not stable in the ...
Soon-Mo Jung, Y. Nam
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SIAM Journal on Numerical Analysis, 2017 A reaction-diffusion problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is shown in general to have a weak singularity near the initial time $t=0$, and sharp pointwise bounds on certain ...
M. Stynes, E. O'Riordan, J. Gracia
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Population Ecology, EarlyView.This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier +6 more
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