Jumping Unbounded Nonlinearities and ALP Condition
dc.contributor.author | Tomiczek, Petr | |
dc.date.accessioned | 2023-01-16T11:00:18Z | |
dc.date.available | 2023-01-16T11:00:18Z | |
dc.date.issued | 2022 | |
dc.description.abstract-translated | We investigate the existence of solutions to the nonlinear problem u′′(x) + λ_+u^+(x) − λ_−u^−(x) + g(x, u(x)) = f (x) , x ∈ (0, 2π) , u(0) = u(2π) , u′(0) = u′(2π) ,where the point [λ_+, λ_−] is a point of the Fučík spectrum Σ = ⋃ Σ_m. We denote φ_m any nontrivial solution toour problem with g = f = 0 corresponding to [λ_+, λ_−] ∈ Σ_m. We assume that g(x, s) = γ(x, s)s + h(x, s) and the nonlinearity g satisfies ALP type condition. | en |
dc.format | 11 s. | cs |
dc.format.mimetype | application/pdf | |
dc.identifier.citation | TOMICZEK, P. Jumping Unbounded Nonlinearities and ALP Condition. WSEAS Transactions on Mathematics, 2022, roč. 21, č. April 2022, s. 196-206. ISSN: 1109-2769 | cs |
dc.identifier.doi | 10.37394/23206.2022.21.26 | |
dc.identifier.issn | 1109-2769 | |
dc.identifier.obd | 43937336 | |
dc.identifier.uri | 2-s2.0-85133679468 | |
dc.identifier.uri | http://hdl.handle.net/11025/50948 | |
dc.language.iso | en | en |
dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
dc.publisher | World Scientific and Engineering Academy and Society | en |
dc.relation.ispartofseries | WSEAS Transactions on Mathematics | en |
dc.rights | © World Scientific and Engineering Academy and Society | en |
dc.rights.access | openAccess | en |
dc.subject.translated | Second order ODE | en |
dc.subject.translated | periodic | en |
dc.subject.translated | resonance | en |
dc.subject.translated | jumping nonlinearities | en |
dc.subject.translated | Dancer-Fucik spectrum | en |
dc.subject.translated | ALPcondition | en |
dc.subject.translated | saddle point theorem | en |
dc.title | Jumping Unbounded Nonlinearities and ALP Condition | en |
dc.type | článek | cs |
dc.type | article | en |
dc.type.status | Peer-reviewed | en |
dc.type.version | publishedVersion | en |
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