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Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

From: The intervals of oscillations in the solutions of the radial Schrödinger differential equation

Figure 3

The numerical solution of equation ( 7 ) with \(\pmb{n = 10}\) , \(\pmb{\ell = 8}\) , and boundary conditions \(\pmb{y(0)=0}\) and \(\pmb{y'(0)=1}\) . Despite its nonmonotonic behavior in the interval \(x\in(9.46, 30.54)\) specified by equation (12), this solution is nonoscillatory (two critical points of the same kind do not appear) because the value of is too close to the maximum value of \(\ell_{\max} = 9\).

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