Analytic solutions of a nonlinear functional differential equation with proportional delays

• Autorzy: Si J.
• Języki publikacji: EN

Słowa kluczowe

EN

functional differential equation; analytic solution

PL

równania różniczkowe; rozwiązania analityczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 4
• Strony: 747--752
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Si J.

• Department of Mathematics Binzhou Normal College Binzhou, Shandong, 256604, P. R. China

Bibliografia

• [1] J. Aczel and D. Gronau, Some differential equations related to iteration theory, Canad. J. Math. 40 No. 3 (1988), 695-717.
• [2] L. Reich, On a differential equation arising in iteration theory in rings of formal power series in one variable, In: Iteration theory and its functional equation, Lecture Notes in Mathematics, 1163, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984, 135-148.
• [3] E. Jabotinsky, Analytic iteration, Trans. Amer. Math. Soc. 108 (1963), 457-477.
• [4] E. K. Ifantis, An existence theory for functional-differential equation and functional-differential systems, J. Differential Equations, 29 (1978), 86-104.
• [5] V. Cherepennikov, Analytic solutions of some functional differential equations linear systems, Nonlinear Anal., 30 (1997), 2641-2651.
• [6] A. Feldstein and Y. Liu, On neutral functional-differential equations with variable time delays, Math. Proc. Camb. Phil. Soc. 124 (1998), 371-384.
• [7] C. L. Siegel, Iteration of analytic functions, Ann. of Math., 43 (1942), 607-612.
• [8] Jian-Guo Si and Sui Sun Cheng, Analytic solutions of a functional differential equation with state dependent argument, Taiwanese J. of Math., 1 (1997), 471-480