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- Open Access
An existence result for a multipoint boundary value problem on a time scale
Advances in Difference Equations volume 2006, Article number: 063208 (2006)
We will expand the scope of application of a fixed point theorem due to Krasnosel'skiĭ and Zabreiko to the family of second-order dynamic equations described by uΔΔ(t) = f(uσ(t)), , with multipoint boundary conditions u(0) = 0, , and for the purpose of establishing existence results. We will determine sufficient conditions on our function f such that the assumptions of the fixed point theorem are satisfied, which in return gives us the existence of solutions.
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Karna, B., Lawrence, B.A. An existence result for a multipoint boundary value problem on a time scale. Adv Differ Equ 2006, 063208 (2006). https://doi.org/10.1155/ADE/2006/63208
- Boundary Condition
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Analysis