On decaying solutions for functional differential equations with p-Laplacian

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Authors

DOŠLÁ Zuzana CECCHI M. MARINI M.

Year of publication 2001
Type Article in Periodical
Magazine / Source Nonlinear Analysis
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords functional differential equations; deviating argument; decaying solution; oscillatory solution
Description 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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