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On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations

Journal of Inequalities and Applications20072007:058189

Received: 13 March 2007

Accepted: 21 June 2007

Published: 4 November 2007


We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly independent solutions is infinite.


Differential EquationIndependent SolutionOscillation PropertyComplex OscillationPeriodic Differential Equation


Authors’ Affiliations

Department of Mathematics, South China Normal University, Guangzhou, China


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© Z.-X. Chen and S.-A. Gao. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.