Open AccessEigenvalue problems for a three-point boundary-value problem on a time scale
Author(s) -
Eric R. Kaufmann,
Youssef N. Raffoul
Publication year - 2004
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2004.1.2
Subject(s) - mathematics , scale (ratio) , eigenvalues and eigenvectors , boundary value problem , value (mathematics) , point (geometry) , mathematical analysis , geometry , statistics , physics , quantum mechanics
Let T be a time scale such that 0; T 2 T. We us a cone theo- retic xed point theorem to obtain intervals for for which the second order dynamic equation on a time scale, u r (t) + a (t)f(u(t)) = 0; t 2 (0; T ) \ T; u(0) = 0; u ( ) = u(T ); where 2 (0; (T )) \T, and 0 < < T= , has a positive solution.
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