說明 
100 p 
附註 
Source: Dissertation Abstracts International, Volume: 6802, Section: B, page: 1007 

Advisers: Lynn Erbe; Allan Peterson 

Thesis (Ph.D.)The University of Nebraska  Lincoln, 2007 

In this study, linear secondorder deltanabla matrix equations on time scales are shown to be formally selfadjoint equations with respect to a certain inner product and the associated selfadjoint boundary conditions. After a connection is made with symplectic dynamic systems on time scales, we introduce a generalized Wronskian and establish a Lagrange identity and Abel's formula. Two reductionoforder theorems are given. Solutions of the secondorder selfadjoint equation are then shown to be related to corresponding solutions of a firstorder Riccati equation. Then a comprehensive roundabout theorem relating key equivalences is stated. Finally several oscillation theorems are proven about the selfadjoint equation. We then go on to state similar results for the nabladelta matrix equation 

School code: 0138 

DDC 
Host Item 
Dissertation Abstracts International 6802B

主題 
Mathematics


0405

Alt Author 
The University of Nebraska  Lincoln

