# Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation

Teruya Minamoto, Mitsuhiro T. Nakao

5 引用 (Scopus)

### 抄録

A numerical verification method to confirm the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation is presented. Using certain systems of equations corresponding to a double turning point, we derive a sufficient condition for its existence whose satisfaction can be verified computationally. We describe verification procedures and give a numerical example as a demonstration.

元の言語 English 177-185 9 Journal of Computational and Applied Mathematics 202 2 https://doi.org/10.1016/j.cam.2006.02.023 Published - 2007 5 15 Yes

### Fingerprint

Turning Point
Numerical methods
Uniqueness
Numerical Methods
Numerical Verification
System of equations
Demonstrations
Numerical Examples
Sufficient Conditions

### ASJC Scopus subject areas

• Applied Mathematics
• Computational Mathematics
• Numerical Analysis

### これを引用

：: Journal of Computational and Applied Mathematics, 巻 202, 番号 2, 15.05.2007, p. 177-185.

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