Monotone iterative technique and connectedness of the set of solutions

Boris Rudolf

Displaying similar documents to “Monotone iterative technique and connectedness of the set of solutions”

On condensing discrete dynamical systems

Valter Šeda (2000)

Mathematica Bohemica

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In the paper the fundamental properties of discrete dynamical systems generated by an $α$ -condensing mapping ( $α$ is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnosel’skij and A. V. Lusnikov in []. They are also applied to study a mathematical model for spreading of an infectious disease investigated by P. Takac in [], [].

Cancellation rule for internal direct product decompositions of a connected partially ordered set

Ján Jakubík, Mária Csontóová (2000)

Mathematica Bohemica

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In this note we deal with two-factor internal direct product decompositions of a connected partially ordered set.

Generalized boundary value problems with linear growth

Valter Šeda (1998)

Mathematica Bohemica

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It is shown that for a given system of linearly independent linear continuous functionals $l_{i} C^{n - 1} \to ℝ$ , $i = 1, \dots, n$ , the set of all $n$ -th order linear differential equations such that the Green function for the corresponding generalized boundary value problem (BVP for short) exists is open and dense in the space of all $n$ -th order linear differential equations. Then the generic properties of the set of all solutions to nonlinear BVP-s are investigated in the case when the nonlinearity in the differential equation...