On the Upper Bounds of Eigenvalues for a Class of Systems of Ordinary Differential Equations with Higher Order | Zendy

Gao Jia | Zendy; Lina Huang | Zendy; Wei Liu | Zendy

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On the Upper Bounds of Eigenvalues for a Class of Systems of Ordinary Differential Equations with Higher Order

Author(s) -

Gao Jia,

Lina Huang,

Wei Liu

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/712703

Subject(s) - mathematics , eigenvalues and eigenvectors , ordinary differential equation , upper and lower bounds , mathematical analysis , class (philosophy) , differential equation , domain (mathematical analysis) , order (exchange) , matrix differential equation , pure mathematics , physics , finance , quantum mechanics , artificial intelligence , computer science , economics

The estimate of the upper bounds of eigenvaluesfor a class of systems of ordinary differential equations with higher order isconsidered by using the calculus theory. Several results about the upper boundinequalities of the (+1)th eigenvalue are obtained by the first eigenvalues. The estimate coefficients do not have any relation to the geometric measure ofthe domain. This kind of problem is interesting and significant both in theory ofsystems of differential equations and in applications to mechanics and physics

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