6533b7d8fe1ef96bd1269b10
RESEARCH PRODUCT
Characteristic numbers of non‐autonomous emden‐fowler type equations
Felix SadyrbaevArmands Gritsanssubject
Pure mathematicsContinuous function (set theory)Mathematical analysisNehari's solutionsValue (computer science)Interval (mathematics)-Type (model theory)Emden‐Fowler equationModeling and SimulationQA1-939Boundary value problemAnalysisCharacteristic numberMathematicsMathematicscharacteristic numbersdescription
We consider the Emden‐Fowler equation x” = ‐q(t)|x|2εx, ε > 0, in the interval [a,b]. The coefficient q(t) is a positive valued continuous function. The Nehari characteristic number An associated with the Emden‐Fowler equation coincides with a minimal value of the functional [] over all solutions of the boundary value problem x” = ‐q(t)|x|2εx, x(a) = x(b) = 0, x(t) has exactly (n ‐ 1) zeros in (a, b). The respective solution is called the Nehari solution. We construct an example which shows that the Nehari extremal problem may have more than one solution. First Published Online: 14 Oct 2010
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-09-30 | Mathematical Modelling and Analysis |