The oscillatory behaviour of the aftershocks rate of the 2001 Bhuj earthquake, India: observation and interpretation

In this paper, we obtain sufficient conditions for oscillation and nonoscillation of the solutions of the neutral delay differential equation yt−∑j=1kpjtyrjt′+qtGygt−utHyht=ft, where pj and rj for each j and q,u,G,H,g,h, and f are all continuous functions and q≥0,u≥0,ht<t,gt<t, and rjt<t for each j. Further, each rjt, gt, and ht⟶∞ as t⟶∞. This paper improves and generalizes some known results.

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Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients

Abstract and Applied Analysis ◽

10.1155/2014/579023 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 3

Author(s):

Fatima N. Ahmed ◽

Rokiah Rozita Ahmad ◽

Ummul Khair Salma Din ◽

Mohd Salmi Md Noorani

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Variable Coefficients ◽

Oscillatory Behaviour ◽

Neutral Delay ◽

Neutral Equations ◽

First Order ◽

All Solutions ◽

Neutral Delay Differential Equations ◽

Delay Differential

We study the oscillatory behaviour of all solutions of first-order neutral equations with variable coefficients. The obtained results extend and improve some of the well-known results in the literature. Some examples are given to show the evidence of our new results.

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Site responses based on ambient vibrations and earthquake data: a case study from the meizoseismal area of the 2001 Bhuj earthquake

Journal of Seismology ◽

10.1007/s10950-016-9604-6 ◽

2016 ◽

Vol 21 (2) ◽

pp. 335-347

Author(s):

Thulasiraman Natarajan ◽

Kusala Rajendran

Keyword(s):

Ambient Vibrations ◽

Bhuj Earthquake ◽

Meizoseismal Area ◽

Earthquake Data

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Analysis of the oscillatory behaviour of an industrial reactor for oxonation of propene; Combined models

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19872865 ◽

1987 ◽

Vol 52 (12) ◽

pp. 2865-2875

Author(s):

Josef Horák ◽

Zdeněk Bělohlav ◽

Petr Rosol ◽

František Madron

Keyword(s):

Liquid Phase ◽

Dynamic Behaviour ◽

Plug Flow ◽

Equal Size ◽

Mixed System ◽

Oscillatory Behaviour ◽

Industrial Reactor ◽

Combined Models ◽

Analysis Of Stability ◽

Flow Element

Models have been used of the flow of the liquid phase in the reactor (cascade of two ideally mixed cells of different size, two equal-size cells with recycle, two equal-size cells with inlets to both cells and a model of two equal-size cells preceded with a back flow element with plug flow) to analyze the oscillatory states of an industrial reactor. Stable and instable steady states have been classified using analysis of pseudosteady states of conversion and temperature supplemented with a simulation of the dynamic behaviour. It has been that the deviations of the flow from an ideally mixed system may expand the region of the oscillatory behaviour. The detailed information about the character of the flow in the reactor and the way of feeding the reactor has been also found important for the analysis of stability.

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Rotating elliptic cylinders in a viscous fluid at rest or in a parallel stream

Journal of Fluid Mechanics ◽

10.1017/s002211207700007x ◽

1977 ◽

Vol 79 (1) ◽

pp. 127-156 ◽

Cited By ~ 16

Author(s):

Hans J. Lugt ◽

Samuel Ohring

Keyword(s):

Reynolds Number ◽

Fluid Flow ◽

Numerical Solutions ◽

Elliptic Cylinder ◽

The Body ◽

Oscillatory Behaviour ◽

Incompressible Fluid Flow ◽

Transient Period ◽

Parallel Stream ◽

Rotating Bodies

Numerical solutions are presented for laminar incompressible fluid flow past a rotating thin elliptic cylinder either in a medium at rest at infinity or in a parallel stream. The transient period from the abrupt start of the body to some later time (at which the flow may be steady or periodic) is studied by means of streamlines and equi-vorticity lines and by means of drag, lift and moment coefficients. For purely rotating cylinders oscillatory behaviour from a certain Reynolds number on is observed and explained. Rotating bodies in a parallel stream are studied for two cases: (i) when the vortex developing at the retreating edge of the thin ellipse is in front of the edge and (ii) when it is behind the edge.

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