On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 1, pp. 82-85
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We consider periodic solutions of nonlinear functional differential equations with rational periods less than $2$. We study the spectral properties of monodromy operators and state a hyperbolicity criterion for such solutions.
Keywords:
functional differential equations, periodic solutions, hyperbolicity.
@article{FAA_2005_39_1_a6,
author = {H. Walther and A. L. Skubachevskii},
title = {On the {Hyperbolicity} of {Rapidly} {Oscillating} {Periodic} {Solutions} of {Functional} {Differential} {Equations}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {82--85},
publisher = {mathdoc},
volume = {39},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a6/}
}
TY - JOUR AU - H. Walther AU - A. L. Skubachevskii TI - On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 2005 SP - 82 EP - 85 VL - 39 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a6/ LA - ru ID - FAA_2005_39_1_a6 ER -
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H. Walther; A. L. Skubachevskii. On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 39 (2005) no. 1, pp. 82-85. http://geodesic.mathdoc.fr/item/FAA_2005_39_1_a6/