| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We have developed the verification methods for existence of a solution of the ordinary differential equation which equivalent to integral equation of a target. We succeeded in improvement of the necessary the verification method of invertibility for linear elliptic operator and its estimates. Moreover, we have developed the method to add a perturbation to the elliptic operator and sequentially estimates inverse operators. However, even this perturbation method couldn't reach the ordinary differential operator with singularity which was a target. Furthermore, the verification method based on shooting method, solving a boundary value problem by reducing it to the solution of an initial value problem, was also tried. We succeeded in development of new verification method of initial value problem necessary to the case.
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