Exponentially Dichotomous Difference Equations with Piecewise Constant Operator Coefficients
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DOI: 10.1007/s11253-020-01835-5
Abstract: We establish necessary and sufficient conditions for the exponential dichotomy of the solutions of linear difference equations with piecewise constant operator coefficients. read more here.
Keywords: difference equations; piecewise constant; operator coefficients; constant operator ... See more keywords
The truncated Euler–Maruyama method for stochastic differential equations with piecewise continuous arguments driven by Lévy noise
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DOI: 10.1080/00207160.2020.1748187
Abstract: ABSTRACT This paper aims to consider stochastic differential equations with piecewise continuous arguments (SDEPCAs) driven by Lévy noise where both drift and diffusion coefficients satisfy local Lipschitz condition plus Khasminskii-type condition and the jump coefficient… read more here.
Keywords: driven noise; stochastic differential; differential equations; piecewise continuous ... See more keywords
On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
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DOI: 10.1186/s13662-017-1396-7
Abstract: This paper provides a method of finding periodical solutions of the second-order neutral delay differential equations with piecewise constant arguments of the form x″(t)+px″(t−1)=qx(2[t+12])+f(t)$x''(t)+px''(t-1)=qx(2[\frac{t+1}{2}])+f(t)$, where [⋅]$[\cdot]$ denotes the greatest integer function, p and q are… read more here.
Keywords: order neutral; solutions second; second order; method finding ... See more keywords