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Dynamic boundary value problems of the second-order: Bernstein–Nagumo conditions and solvability

✍ Scribed by Johnny Henderson; Christopher C. Tisdell

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
317 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

This article analyzes the solvability of second-order, nonlinear dynamic boundary value problems (BVPs) on time scales. New Bernstein-Nagumo conditions are developed that guarantee an a priori bound on the delta derivative of potential solutions to the BVPs under consideration. Topological methods are then employed to gain solvability.

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