Theory and Modern Applications
Table 1 Sign-changing solutions \(\pmb{u_{1}}\) , \(\pmb{u_{4}}\) , positive solution \(\pmb{u_{2}}\) , negative solution \(\pmb{u_{3}}\)
From: The eigenvalues and sign-changing solutions of a fractional boundary value problem
t | \(\boldsymbol {u_{1}}\) | \(\boldsymbol {u_{2}}\) | \(\boldsymbol {u_{3}}\) | \(\boldsymbol {u_{4}}\) |
|---|---|---|---|---|
0.0 | −0.1025 | 0.3772 | −0.3772 | 0.1025 |
0.1 | −0.0910 | 0.3657 | −0.3657 | 0.0910 |
0.2 | −0.0692 | 0.3439 | −0.3439 | 0.0692 |
0.3 | −0.0411 | 0.3158 | −0.3158 | 0.0411 |
0.4 | −0.0077 | 0.2824 | −0.2824 | 0.0077 |
0.5 | 0.0293 | 0.2446 | −0.2446 | −0.0293 |
0.6 | 0.0449 | 0.2028 | −0.2028 | −0.0449 |
0.7 | 0.0455 | 0.1573 | −0.1573 | −0.0455 |
0.8 | 0.0370 | 0.1084 | −0.1084 | −0.0370 |
0.9 | 0.0214 | 0.0564 | −0.0564 | −0.0214 |
1.0 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |