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Solution Matching for a Second Order Boundary Value Problem on Time Scales
Author(s) -
A. Lanz,
Ana M. Tameru
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/465867
Subject(s) - font , mathematics , combinatorics , style (visual arts) , matrix (chemical analysis) , matching (statistics) , statistics , computer science , artificial intelligence , chemistry , art , chromatography , literature
Let be a time scale such that <;,∈. We will show the existence and uniqueness of solutions for the second-order boundary value problem ΔΔ()=(,(),Δ()),∈[,],()=,()=, by matching a solution of the first equation satisfying boundary conditions on [,] with a solution of the first equation satisfying boundary conditions on [,], where ∈(,)

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