On the asymptotics of the spectrum of a thin plate problem of elasticity.
Nazarov, S. A. (2000)
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Nazarov, S. A. (2000)
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Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Integrability and convergence of modified cosine sums introduced by Rees and Stanojević under a class of generalized semi-convex null coefficients are studied by using Cesàro means of non-integral orders.
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Ivica Gusić (2000)
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Stanković, B. (2003)
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Svatoslav Staněk (1994)
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The Leray-Schauder degree theory is used to obtain sufficient conditions for the existence and uniqueness of solutions for the boundary value problem x'' = f(t,x,x',x'',λ), α(x) = 0, β(x̅) = 0, γ(x̿)=0, depending on the parameter λ. Here α, β, γ are linear bounded functionals defined on the Banach space of C⁰-functions on [0,1] and x̅(t) = x(0) - x(t), x̿(t)=x(1)-x(t).