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 [], [].

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 → ℝ , i = 1 , ⋯ , 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...

A metric on a system of ordered sets

Alfonz Haviar, Pavel Klenovčan (1996)

Mathematica Bohemica

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In [3] a metric on a system of isomorphism classes of ordered sets was defined. In this paper we define another metric on the same system and investigate some of its properties. Our approach is motivated by a problem from practice.