On the Upper Bounds of Eigenvalues for a Class of Systems of Ordinary Differential Equations with Higher Order
The estimate of the upper bounds of eigenvalues for a class of systems of ordinary differential equations with higher order is considered by using the calculus theory. Several results about the upper bound inequalities of the (𝑛+1)th eigenvalue are obtained by the first 𝑛 eigenvalues. The estimate...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/712703 |
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| Summary: | The estimate of the upper bounds of eigenvalues
for a class of systems of ordinary differential equations with higher order is
considered by using the calculus theory. Several results about the upper bound
inequalities of the (𝑛+1)th eigenvalue are obtained by the first 𝑛 eigenvalues.
The estimate coefficients do not have any relation to the geometric measure of
the domain. This kind of problem is interesting and significant both in theory of
systems of differential equations and in applications to mechanics and physics. |
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| ISSN: | 1687-9643 1687-9651 |