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Integral Comparison Theorems for Scalar Riccati Equations and Applications

Published online by Cambridge University Press:  20 November 2018

Lynn Erbe
Lynn Erbe*
Affiliation:
Department of Mathematics University of Alberta, Edmonton, Alberta, Canada
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Abstract

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Comparison theorems are developed for the pair of first order Riccati equations (1) and (2) . The comparisons are of an integral type and involve an auxiliary function μ. Applications are given to disconjugacy theory for self-adjoint equations of the second and fourth order.

Keywords

34C1034C11disconjugacyRiccati equationscomparison theorems
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 1 , 01 March 1982 , pp. 82 - 97
Copyright
Copyright © Canadian Mathematical Society 1982

References

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