Electron. J. Diff. Equ., Vol. 2016 (2016), No. 39, pp. 1-11.

Existence of non-oscillatory solutions to first-order neutral differential equations

Tuncay Candan

This article presents sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations having both delay and advance terms, known as mixed equations. Our main tool is the Banach contraction principle.

Submitted October 14, 2015. Published January 27, 2016.
Math Subject Classifications: 34K11, 34C10.
Key Words: Neutral equations; fixed point; non-oscillatory solution.

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Tuncay Candan
Department of Mathematics
Faculty of Arts and Sciences
Nigde University
Nigde 51200, Turkey
email: tcandan@nigde.edu.tr

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