On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides

Antoni Augustynowicz

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Displaying similar documents to “On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides”

Note on simultaneous solutions of a system of Schröder's equations

Jan Čermák (1995)

Mathematica Bohemica

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We investigate simultaneous solutions of a system of Schroder's functional equations. Under certain assumptions these solutions are used in transformations of functional-differential equations the initial set of which consists of the initial point only.

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 [], [].

On non-linear Volterra integral-functional equations in several variables

Z. Kamont, M. Kwapisz (1981)

Annales Polonici Mathematici

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On systems of linear algebraic equations in the Colombeau algebra

Jan Ligęza, Milan Tvrdý (1999)

Mathematica Bohemica

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From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra $\bar{ℝ}$ of generalized real numbers. It is worth mentioning that the algebra $\bar{ℝ}$ is not a field.