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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Multiple solutions of ordinary differential systems with min-max terms and applications to the fuzzy differential equations

Figure 1

Two level-set solutions of fuzzy differential equation ( 10 ) for \(\pmb{J=[0,\frac{1}{2}]}\) , \(\pmb{[a]^{\alpha}=[2+\alpha ,4-\alpha ]}\) , \(\pmb{[u_{0}]^{\alpha}=[3+\alpha,5-\alpha]}\) . We have \(\alpha=\frac{1}{4}\) (left), \(\frac{1}{2}\) (right) and \(\frac{3}{4}\) (bottom). All these level-set solutions are assigned to the subsystem (12). The dash lines (red) and solid lines (blue) sketch the two level-cut solutions, respectively.

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