Disconjugacy and Higher Order Dynamic Equations

Paul Eloe ()
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Paul Eloe: University of Dayton, Department of Mathematics

Chapter Chapter 8 in Advances in Dynamic Equations on Time Scales, 2003, pp 251-274 from Springer

Abstract: Abstract In this chapter, we introduce the study of disconjugacy of nth order dynamic equations on time scales. Disconjugacy of ordinary differential equations is thoroughly studied and has a rich history. Much of what we develop in this chapter has been presented for ordinary differential equations in Coppel’s often cited monograph [100]. The analogous theory for forward difference equations was developed by Philip Hartman [154] in a landmark paper which has generated so much activity in the study of difference equations.

Keywords: Boundary Value Problem; Lower Solution; Homogeneous Boundary Condition; Generalize Zero; Finite Difference Equation (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-0-8176-8230-9_8

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