Trench's Perturbation Theorem for Dynamic Equations | Zendy

Martin Böhner | Zendy; Stevo Stević | Zendy

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Trench's Perturbation Theorem for Dynamic Equations

Author(s) -

Martin Böhner,

Stevo Stević

Publication year - 2007

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2007/75672

Subject(s) - trench , perturbation (astronomy) , dynamic equation , mathematics , differential equation , mathematical analysis , perturbation theory (quantum mechanics) , physics , nonlinear system , quantum mechanics , chemistry , organic chemistry , layer (electronics)

We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and give conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has solutions that behave asymptotically like a recessive and dominant solutions of the unperturbed equation. As the theory of time scales unifies continuous and discrete analysis, our results contain as special cases results for corresponding differential and difference equations by William F. Trench

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