Abstract
Using classical Leray-Schauder’s techniques and coincidence degree, we prove the existence of periodic solutions for forced second order delay-differential equations under nonuniform nonresonance conditions with respect to the spectrum of the linear ordinary-differential equation with periodicity conditions. Our approach allows us to derive some uniqueness result.
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Iannacci, R., Nkashama, M.N. (1985). On periodic solutions of forced second order differential equations with a deviating argument. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074731
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DOI: https://doi.org/10.1007/BFb0074731
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