Solution Matching for a Second Order Boundary Value Problem on Time Scales
Let 𝕋 be a time scale such that 𝑎<𝑏;𝑎,𝑏∈𝕋. We will show the existence and uniqueness of solutions for the second-order boundary value problem 𝑦ΔΔ(𝑡)=𝑓(𝑡,𝑦(𝑡),𝑦Δ(𝑡)),𝑡∈[𝑎,𝑏]𝕋,𝑦(𝑎)=𝐴,𝑦(𝑏)=𝐵, by matching a solution of the first equation satisfying boundary conditions on [𝑎,𝑐]𝕋 with a solution of the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/465867 |
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