Oscillatory Behavior in Linear Difference Equations under Unmodeled Dynamics and Parametrical Errors

M. De la Sen

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Oscillatory Behavior in Linear Difference Equations under Unmodeled Dynamics and Parametrical Errors

机译：Oscillatory Behavior in Linear Difference Equations under Unmodeled Dynamics and Parametrical Errors

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This paper investigates the presence of oscillating solutions in time-varying difference equations even in the case when there exist parametrical errors (i.e., errors in the sequences defining their coefficients) and/or unmodeled dynamics, namely, the current order is unknown and greater than the nominal known order. The formulation is related to the concepts of conjugacy, disconjugacy, positivity, and generalized zeros and general conditions of oscillation are obtained both over particular intervals and for the whole solution. Some results concerned with the presence of stable oscillations are also presented.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2007年第1期|23.1-23.18|共9页
作者
M. De la Sen;
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作者单位

Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, Campus of Leioa, Bizkaia, Aptdo, 544 Bilbao, Spain;

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正文语种英语
中图分类工程数学;
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Oscillatory Behavior in Linear Difference Equations under Unmodeled Dynamics and Parametrical Errors

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