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Disconjugacy and Higher Order Dynamic Equations

Disconjugacy and Higher Order Dynamic Equations

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Description

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.

It is Chapter 8 in Advances in Dynamic Equations on Time Scales (2003), Martin Bohner and Allan Peterson, eds.

ISBN

978-0-8176-4293-8

Publication Date

2003

Publication Source

Advances in Dynamic Equations on Time Scales

Publisher

Springer

Keywords

Boundary Value Problem, Lower Solution, Homogeneous Boundary Condition, Generalize Zero, Finite Difference Equation

Disciplines

Dynamical Systems | Mathematics | Other Mathematics

Disconjugacy and Higher Order Dynamic Equations

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