Abstract
We consider a boundary value problem (Equation Presented) where f ∈ Lp(ℝ), p ∈ [1,∞] (L∞(ℝ) := C(ℝ)) and 0 ≤ q ∈ L1loc (ℝ). For a given p ∈ [1,∞], for a correctly solvable problem (0.1) in L p(ℝ), we obtain minimal requirements to a positive, continuous function Θ (x) for x ∈ ℝ under which, regardless of f ∈ Lp(ℝ), the solution y ∈ Lp(ℝ) of problem (0.1) satisfies the equality (Equation Presented).
Original language | English |
---|---|
Pages (from-to) | 160-170 |
Number of pages | 11 |
Journal | Mathematische Nachrichten |
Volume | 281 |
Issue number | 2 |
DOIs | |
State | Published - 1 Feb 2008 |
Keywords
- Minimal rate of decrease of solutions
- Simplest singular boundary value problem
ASJC Scopus subject areas
- General Mathematics