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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Difference equations: disconjugacy, principal solutions, Green's functions, complete monotonicity


Author: Philip Hartman
Journal: Trans. Amer. Math. Soc. 246 (1978), 1-30
MSC: Primary 39A12
MathSciNet review: 515528
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Abstract: We find analogues of known results on nth order linear differential equations for nth order linear difference equations. These include the concept of disconjugacy, Pólya's criterion for disconjugacy, Frobenius factorizations, generalized Sturm theorems, existence and properties of principal solutions, signs of Green's functions, and completely monotone families of solutions of equations depending on a parameter.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1978-0515528-6
PII: S 0002-9947(1978)0515528-6
Article copyright: © Copyright 1978 American Mathematical Society