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On decaying solutions for functional differential equations with p-Laplacian

Basic information
Original title:On decaying solutions for functional differential equations with p-Laplacian
Authors:Zuzana Došlá, M. Cecchi, M. Marini
Further information
Citation:DOŠLÁ, Zuzana, M. CECCHI and M. MARINI. On decaying solutions for functional differential equations with p-Laplacian. Nonlinear Analysis, Holandsko: Elsevier Science Ltd., 2001, vol. 47, No 1, p. 4387-4398. ISSN 0362-546X.Export BibTeX
@article{379133,
author = {Došlá, Zuzana and Cecchi, M. and Marini, M.},
article_location = {Holandsko},
article_number = {1},
keywords = {functional differential equations; deviating argument; decaying solution; oscillatory solution},
language = {eng},
issn = {0362-546X},
journal = {Nonlinear Analysis},
title = {On decaying solutions for functional differential equations with p-Laplacian},
volume = {47},
year = {2001}
}
Original language:English
Field:General mathematics
Type:Article in Periodical
Keywords:functional differential equations; deviating argument; decaying solution; oscillatory solution

We study the existence of monotone solutions approaching zero as t tends to infinity of functional differential equation with one-dimensional p-Laplacian. Jointly with the monotone properties of nonoscillatory solutions some results about the qualitative behavior of oscillatory solutions are given too. Relationships between the case without deviating argument and the functional one, enlightening both similarities and differences, are treated as well.

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