Mathematics / Matematik
Permanent URI for this collectionhttps://hdl.handle.net/11147/8
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Article Citation - WoS: 23Citation - Scopus: 23Cofinitely Weak Supplemented Modules(Taylor and Francis Ltd., 2003) Alizade, Rafail; Büyükaşık, EnginWe prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M is a cws-module then every M-generated module is a cws-module. Every module is cws if and only if the ring is semilocal. We study also modules, whose finitely generated submodules have weak supplements.Article Citation - Scopus: 1Inequalities for Buckling of a Clamped Plate(Taylor and Francis Ltd., 2002) Ufuktepe, Ünal; Mchale, K. P.We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in bounding ratios of eigenvalues of the membrance problem, bounds for ratios of eigenvalues are found for the buckling of a clamped piateConference Object Citation - WoS: 6Citation - Scopus: 6Soliton Resonances, Black Holes and Madelung Fluid(Taylor and Francis Ltd., 2001) Pashaev, Oktay; Lee, Jyh HaoThe reaction-diffusion system realizing a particular gauge fixing condition of the Jackiw-Teitelboim gravity is represented as a coupled pair of Burgers equations with positive and negative viscosity. For acoustic metric in the Madelung fluid representation the space-time points where dispersion change the sign correspond to the event horizon, while shock soliton solutions to the black holes, creating under collision the resonance states.Conference Object Citation - WoS: 2Citation - Scopus: 2Self-Dual Chern-Simons Solitons and Quantum Potential(Taylor and Francis Ltd., 2001) Pashaev, Oktay; Lee, Jyh HaoAn influence of the quantum potential on the Chern-Simons solitons leads to quantization of the statistical parameter κ = me 2/g, and the quantum potential strength s = 1 - m 2. A new type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found.