6533b82cfe1ef96bd128f364
RESEARCH PRODUCT
Multiplicity of Solutions for Second Order Two-Point Boundary Value Problems with Asymptotically Asymmetric Nonlinearities at Resonance
Felix Sadyrbaevsubject
Asymptotically linearNonlinear systemPoint boundarySublinear functionGeneral MathematicsMathematical analysisMultiplicity (mathematics)Angular functionBoundary value problemMixed boundary conditionMathematicsdescription
Abstract Estimations of the number of solutions are given for various resonant cases of the boundary value problem 𝑥″ + 𝑔(𝑡, 𝑥) = 𝑓(𝑡, 𝑥, 𝑥′), 𝑥(𝑎) cos α – 𝑥′(𝑎) sin α = 0, 𝑥(𝑏) cos β – 𝑥′(𝑏) sin β = 0, where 𝑔(𝑡, 𝑥) is an asymptotically linear nonlinearity, and 𝑓 is a sublinear one. We assume that there exists at least one solution to the BVP.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-06-01 | gmj |