Nataliya Bantsur - Existence of T-periodic solutions of nonlinear scalar differential equations with maxima

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NATALIYA BANTSUR, Institute of Mathematics of the NAS of Ukraine, Kyiv 252601 Ukraine

Existence of T-periodic solutions of nonlinear scalar differential equations with maxima

Problems of the existence of T-periodic solutions of nonlinear scalar superlinear differential equations with maxima of the form

$\begin{displaymath}x'(t)= f\bigl(x(t)\bigr)+ g\bigl(\max_{u\in [t-h;t]} x(u)\bigr) + p(t) \quad t, x\in R \end{displaymath}$

is investigated. Part of these results is joint work with E. Trofimchuk.

References

1.: N. R. Bantsur and E. P. Trofimchuk, About existence of T-periodic solutions of nonlinear scalar differential equations with maxima. Nonlinear oscillation 1(1998), 1-5 (in Ukraine).
2.: to 3em, Existence and stability of the periodic and almost periodic solutions of quasilinear systems with maxima. Ukrain. Mat. Zh. 1(1998), 747-753 (in Ukraine).

Next: Boris Dekster - Each Up: Contributed Papers / Communications Previous: Lyudmila Bantsur - The