6533b824fe1ef96bd127fe42
RESEARCH PRODUCT
On Some Properties of the Dirichlet Problem at Resonance
Arnold Lepinsubject
CombinatoricsDirichlet problemsymbols.namesakeMathematics Subject ClassificationGeneral MathematicsBounded functionDirichlet boundary conditionFree boundary problemsymbolsBoundary value problemFunction (mathematics)Elliptic boundary value problemMathematicsdescription
Abstract The boundary value problem at resonance 𝑥″ + 𝑥 = 𝑞 sin 𝑡 + 𝑓(𝑡,𝑥,𝑥′), 𝑥(0) = 0, 𝑥(π) = 0, is considered, where 𝑓 : [0,π] × 𝑹2 → 𝑹 is a bounded Carathéodory function, 𝑞 is a parameter. We state the multiplicity results without assuming that 𝑓 has limits.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-03-01 | gmj |