On systems, periods and semipositive mappings

Svatopluk Poljak; Daniel Turzík

Displaying similar documents to “On systems, periods and semipositive mappings”

Limit behaviour of trajectories involving subgradients of convex functions

Jan Pelant, Svatopluk Poljak, Daniel Turzík (1987)

Commentationes Mathematicae Universitatis Carolinae

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A PU-integral on an abstract metric space

Giuseppa Riccobono (1997)

Mathematica Bohemica

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In this paper, we define a -integral, i.e. an integral defined by means of partitions of unity, on a suitable compact metric measure space, whose measure $μ$ is compatible with its topology in the sense that every open set is $μ$ -measurable. We prove that the -integral is equivalent to $μ$ -integral. Moreover, we give an example of a noneuclidean compact metric space such that the above results are true.

On the existence of a weak solution of the boundary value problem for the equilibrium of a shallow shell reinforced with stiffening ribs

Igor Bock, Ján Lovíšek (1978)

Aplikace matematiky

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The existence and the unicity of a weak solution of the boundary value problem for a shallow shell reinforced with stiffening ribs is proved by the direct variational method. The boundary value problem is solved in the space $W (Ω) \subset H_{0}^{1} (Ω) \times H_{0}^{1} (Ω) \times H_{0}^{2} (Ω)$ , on which the corresponding bilinear form is coercive. A finite element method for numerical solution is introduced. The approximate solutions converge to a weak solution in the space $Q (Ω)$ .