Recent content by kajzlik

  1. K

    Graduate Eigenvalue problem with nonlocal condition

    Well, not that difficult... Thank you, it really helped.
  2. K

    Graduate Eigenvalue problem with nonlocal condition

    Thanks for your response. The formulation of my problem was quite confusing. First condition is ok, its just straight forward process that leads to sine function, but I'm completely lost with the second one.As you said it's obvious that second condition will hold for any "multiplying" constant...
  3. K

    Graduate Eigenvalue problem with nonlocal condition

    Hello guys, suppose we have an eigenvalue problem \left\{ \begin{array}{ll} u'' + λu = 0, \quad x \in (0,\pi) \\ u(0)=0 \quad \\ \left( \int_0^\pi \! {(u^+)}^2 \, \mathrm{d}x \right)^{\frac{1}{2}} = \left( \int_0^\pi \! {(u^-)}^4 \, \mathrm{d}x \right)^\frac...