The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions”

Some estimates for the first eigenvalue of the Sturm-Liouville problem with a weight integral condition

Maria Telnova (2012)

Mathematica Bohemica

Similarity:

Let λ 1 ( Q ) be the first eigenvalue of the Sturm-Liouville problem y ' ' - Q ( x ) y + λ y = 0 , y ( 0 ) = y ( 1 ) = 0 , 0 < x < 1 . We give some estimates for m α , β , γ = inf Q T α , β , γ λ 1 ( Q ) and M α , β , γ = sup Q T α , β , γ λ 1 ( Q ) , where T α , β , γ is the set of real-valued measurable on 0 , 1 x α ( 1 - x ) β -weighted L γ -functions Q with non-negative values such that 0 1 x α ( 1 - x ) β Q γ ( x ) d x = 1 ( α , β , γ , γ 0 ) .