| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
For a class of differential equations concerning change of the number of individuals, I discovered a singular mathematical construction and solved it by mathematically analyzing the nonlinearity. In particular, I defined a novel function which is a generalization of so-called Jacobian elliptic function and succeeded in describing the construction of the set of all solutions by representing all exact solutions in the form of the new function. In the future, I expect that studying the algebraic properties of the generalized Jacobian elliptic function, we can obtain new knowledge about differential equations, which could not be discovered in analytic approach.
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