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Journal of Mathematical Analysis and Applications
Article
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Journal of Mathematical Analysis and Applications
Article . 2000
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
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Article . 2000
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Nonoscillation for Functional Differential Equations of Mixed Type

Nonoscillation for functional differential equations of mixed type
Authors: Krisztin, Tibor;

Nonoscillation for Functional Differential Equations of Mixed Type

Abstract

It is considered the linear autonomous functional-differential equation \[ \dot x(t)+ \int^1_{-1} (d\mu(s)) x(t+ s)= 0 \] which is of mixed (retarted/advanced) type. An example shows that such equations may be nonoscillatory in spite of the existence of the real roots of the characteristic equation. Exponential estimates and boundedness are analyzed. It is shown that nonoscillatory solutions may be bounded even without exponential bounds for all solutions.

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Keywords

nonoscillation, asymptotic expansion, Growth, boundedness, comparison of solutions to functional-differential equations, Oscillation theory of functional-differential equations, nonoscillatory solutions, Applied Mathematics, Linear functional-differential equations, mixed type functional differential equation, characteristic equation, linear autonomous functional-differential equation, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Average
Top 10%
Average
hybrid