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Periodic and Almost Periodic Solutions of Difference Equations in Metric Spaces
Journal of Mathematical Sciences, 2016The author considers two definitions of almost periodic operators on metric spaces and discusses the difference equation \[ Fx = h, \] where \(h\) is almost periodic on some metric space and \(F\) belongs to the class of shift almost periodic operators on that metric space. He discusses the existence of an almost periodic solution of the aforementioned
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On the periodicity of solutions of max‐type difference equation
Mathematical Methods in the Applied Sciences, 2014This paper is devoted to study the periodic nature of the solution of the following max‐type difference equation: urn:x-wiley:mma:media:mma3296:mma3296-math-0162 where the initial conditions x−2,x−1,x0 are arbitrary positive real numbers and is a periodic sequence of period two. Copyright © 2014 John Wiley & Sons, Ltd.
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On the Existence of Periodic Solutions of Nonlinear Difference Equations
Ukrainian Mathematical Journal, 2002The author considers the difference equation \[ x(t+1)=f(t,x(t)),\tag{1} \] where \(t\in \mathbb R, f\in C(\mathbb R\times \mathbb R \mapsto \mathbb R)\). In addition it is assumed that \(f(t,x)\) is \(N\)-periodic in \(t\) (\(N\in \mathbb N\)) and satisfies the condition \(|f(t,x)-f(t,y)|\leq\omega(t)|x-y|\) with \(N\)-periodic positive function ...
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Periodic Solutions of Functional Difference Equations
International Journal of Mathematics Trends and Technology, 2021openaire +1 more source
Noncoding RNA therapeutics — challenges and potential solutions
Nature Reviews Drug Discovery, 2021Sherien M El-Daly +2 more
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Antibiofilm activity of host defence peptides: complexity provides opportunities
Nature Reviews Microbiology, 2021, Morgan A Alford, Evan F Haney
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Characteristics of SARS-CoV-2 and COVID-19
Nature Reviews Microbiology, 2020Ben Hu, Hua Guo, Peng Zhou
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Nanofluidics for osmotic energy conversion
Nature Reviews Materials, 2021, Liping Wen, Lei Jiang
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Asymptotically periodic solutions of differential-difference equations
Ukrainian Mathematical Journal, 1981openaire +3 more sources