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Displaying 441 – 460 of 729

On the dominance relation between ordinal sums of conjunctors

Susanne Saminger, Bernard De Baets, Hans De Meyer (2006)

Kybernetika

This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some well-known parametric families of t-norms and copulas.

On the equality condition in Hölder's and Minkowski inequalities.

Jürg Rätz, Janusz Matkowski (1993)

Aequationes mathematicae

On the equality condition in Hölder's and Minkowski's inequalities. (Summary).

Jürg Rätz, Janusz Matkowski (1993)

Aequationes mathematicae

On the equivalence of Hille's and Robinson's functional equations

Hiroshi Haruki (1973)

Annales Polonici Mathematici

On the existence and uniqueness of convex solutions of a functional equation in the indeterminate case

Stefan Czerwik (1974)

Annales Polonici Mathematici

On the existence and uniqueness of integrable solutions of functional equations in Banach space.

M. Kwapisz, J. Turo (1979)

Aequationes mathematicae

On the existence and uniqueness of periodic solutions for difference equations of second order

Zdzisław Denkowski (1973)

Annales Polonici Mathematici

On the existence and uniqueness of solutions of some partial differential functional equations

Zdzisław Denkowski, Andrzej Pelczar (1978)

Annales Polonici Mathematici

On the existence and uniqueness of solutions to boundary value problems on time scales.

Henderson, Johnny, Peterson, Allan, Tisdell, Christopher C. (2004)

Advances in Difference Equations [electronic only]

On the existence and uniqueness of the solution of a non-linear functional equation of r-th order

Marian Kwapisz (1977)

Annales Polonici Mathematici

On the existence of a compactly supported $L^{p}$ -solution for two-dimensional two-scale dilation equations

Jarosław Kotowicz (1997)

Applicationes Mathematicae

Necessary and sufficient conditions for the existence of compactly supported $L^{p}$ -solutions for the two-dimensional two-scale dilation equations are given.

On the existence of a convex solution of the functional equation φ(x) = h(x,φ[f(x)])

Z. Kominek, J. Matkowski (1974)

Annales Polonici Mathematici

On the existence of a Lipschitz solution of a functional equation

S. Czerwik (1976)

Matematički Vesnik

On the existence of continuous solutions of operator equations in Banach spaces

Antoni Augustynowicz, Marian Kwapisz (1986)

Časopis pro pěstování matematiky

On the existence of positive solutions for certain difference equations and inequalities.

Philos, Ch.G. (1998)

Journal of Inequalities and Applications [electronic only]

On the existence of positive solutions of second order neutral difference equations

Wen-Xian Lin (2004)

Applicationes Mathematicae

The neutral delay difference equations of second order with positive and negative coefficients $Δ ² (x ₙ + p ₙ x_{n - τ}) + q ₙ x_{n - σ} - r ₙ x_{n - λ} = 0$ , n = 0,1,2,... studied sufficient condition existence positive solution equation obtained

On the existence of solutions of some second order nonlinear difference equations

Małgorzata Migda, Ewa Schmeidel, Małgorzata Zbąszyniak (2005)

Archivum Mathematicum

We consider a second order nonlinear difference equation $Δ^{2} y_{n} = a_{n} y_{n + 1} + f (n, y_{n}, y_{n + 1}), n \in N . (E)$ The necessary conditions under which there exists a solution of equation (E) which can be written in the form $y_{n + 1} = α_{n} u_{n} + β_{n} v_{n}, are given.$ Here $u$ and $v$ are two linearly independent solutions of equation $Δ^{2} y_{n} = a_{n + 1} y_{n + 1}, (lim_{n \to \infty} α_{n} = α < \infty and lim_{n \to \infty} β_{n} = β < \infty) .$ A special case of equation (E) is also considered.

On the exponential function and Pólya's proof

Myers, Donald E. (1976)

Portugaliae mathematica

On the extension of exponential polynomials

László Székelyhidi (2000)

Mathematica Bohemica

Exponential polynomials are the building bricks of spectral synthesis. In some cases it happens that exponential polynomials should be extended from subgroups to whole groups. To achieve this aim we prove an extension theorem for exponential polynomials which is based on a classical theorem on the extension of homomorphisms.

On the extension of integrable solutions of a functional equation of n-th order

Roman Węgrzyk (1983)

Annales Polonici Mathematici

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