Skip to main content

Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

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

Figure 2

Two level-set solutions of fuzzy differential equation ( 10 ) for \(\pmb{J=[0,\frac{1}{2}]}\) , \(\pmb{[a]^{\alpha}=[2+\alpha ,4-\alpha ]}\) , \(\pmb{[u_{0}]^{\alpha}=[-8+\alpha, -2-\alpha]}\) . 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 (13). The dash lines (red) and solid lines (blue) sketch the two level-cut solutions, respectively.

Back to article page