Asymptotic analysis of delay differential equations

manuscripta mathematica - Tập 38 - Trang 225-238 - 1982
Caterina Sartori1
1Istituto di Matematica Applicata, Universitá di Padova, Padova, Italy

Tóm tắt

We present an asymptotic analysis for the solution of period 4 of $$\dot x(t) = - \alpha f(x(t - 1))$$ , where f is an odd function and α a positive parameter.

Tài liệu tham khảo

J. KAPLAN, J. YORKE: Ordinary differential equations which yield periodic solutions of differential-delay equations. J. Math. Anal. Appl.48, 317–324 (1974).

R.D. NUSSBAUM: Periodic solutions of special different ial-delay equations: An example in nonlinear functional analysis. Proc.Royal Soc.Edinburgh8lA, 131–151 (1978).

R.D. NUSSBAUM: Uniqueness and nonuniqueness for period, ic solutions of\(\dot x(t) = - g(x(t - 1))\). J. Differential Equations34, 25–54 (1979).

R.D. NUSSBAUM: Asymptotic analysis of functional differ ential equation and solutions of long period. Arch. Rat. Mech. Anal. to appear.

H. JÜRGENS, H.-O. PEITGEN, D. SAUPE: Topological pertur bations in the numerical study of nonlinear eigenvalue and bifurcation problems. Proceedings of the symposium on Analysis and computation of fixed points. S.M. Robinson (ed.) Academic Press, N.Y. 1979.

D. SAUPE: communication to R. Nussbaum, Dec. 198l.

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manuscripta mathematica

Tập 38

225-238

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