Solutions converging to zero of some systems of nonlinear functional differential equations with iterated deviating argument

Stević, Stevo

doi:10.1016/j.amc.2012.10.039

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2022

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Cited by 6 publications

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“…More precisely, using some conditions on the matrices

A(t)

and

B(t)

and the function

f

, he studied the existence and the asymptotic behavior of the solutions of (). For some differential, difference, and related equations close to Equation () and their applications, see, for example, previous studies 25–32 and the references cited therein. For some partial difference equations, see, for example, previous studies 33–39 and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic behavior of the solutions of a partial differential equation with piecewise constant argument

Stefanidou

Papaschinopoulos

2022

Math Methods in App Sciences

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where A(t) is a k × k invertible and continuous matrix function on IR + ; B(t, s), C(t, s), and D(t, s) are k×k continuous and bounded matrix functions on IR + ×IR + ; [t] and [s] are the integral parts of t and s, respectively; and 𝑓 ∶ IR k → IR k is a continuous function. More precisely, under some conditions on the matrices A(t), B(t, s), C(t, s), and D(t, s) and the function 𝑓 , we investigate the asymptotic behavior of the solutions of the above equation.

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“…More precisely, using some conditions on the matrices