Electron. J. Differential Equations, Vol. 2024 (2024), No. 54, pp. 1-22.

Solving linear differential equations with mixed arguments

George L. Karakostas

Abstract:
We find expressions for solutions to an initial value problem of a linear n-dimensional differential equation. This equation has time deviations of mixed type (advanced and delayed) that have fixed points. The key assumption is that these deviations are odd functions.

Submitted May 16, 2024. Published September 17, 2024.
Math Subject Classifications: 34K06, 34K99.
Key Words: Differential equations with mixed arguments; nonsingular matrices.
DOI: 10.58997/ejde.2024.54

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George L. Karakostas
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: gkarako@uoi.gr, gkarako@hotmail.com

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