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Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance

✍ Scribed by Jean-Pierre Gossez; Pierpaolo Omari

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
655 KB
Volume
94
Category
Article
ISSN
0022-0396

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Consider the second order nonlinear neutral differential equation with delays: Ε½ . w . E d rdt y t y py t y q q t f y t y s 0, for t g 0, Ο± , where Ε½ . Ε½ . Ε½ . Ε½ . q t , f x are continuous functions, q t G 0, yf y ) 0 if y / 0, and 0p -1, Ε½ . ) 0, ) 0. When f y satisfies either the superlinear or