Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 10
Submit an article Journal homepage
75
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Existence of solutions to second-order BVPs on time scales

Lynn Erbe Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USACorrespondence[email protected]
,
Allan Peterson § Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA
&
Christopher C. Tisdell ¶ School of Mathematics, The University of New South Wales, Sydney NSW 2052, AustraliaView further author information
Pages 1069-1078 | Received 08 Apr 2004, Published online: 23 Aug 2006
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We consider a boundary value problem (BVP) for systems of second-order dynamic equations on time scales. Using methods involving dynamic inequalities, we formulate conditions under which all solutions to a certain family of systems of dynamic equations satisfy certain a priori bounds. These results are then applied to guarantee the existence of solutions to BVPs for systems of dynamic equations on time scales.

Acknowledgments

This research was supported by NSF Grant 0072505 and The Australian Research Council's Discovery Projects (DP0450752), The Australian Academy of Science's “Scientific Visits Program” and The University of New South Wales.

Notes

Additional information

Notes on contributors

Christopher C. Tisdell Footnote

Email: [email protected] Email: [email protected]

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.