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Displaying 1121 – 1140 of 2641

Nonlinear $ℒ$ -random stability of an ACQ functional equation.

Saadati, Reza, Zohdi, M.M., Vaezpour, S.M. (2011)

Journal of Inequalities and Applications [electronic only]

Nonlinear stability of a quadratic functional equation with complex involution

Reza Saadati, Ghadir Sadeghi (2011)

Archivum Mathematicum

Let $X, Y$ be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping $f : X \to Y$ satisfies $\begin{matrix} f (x + i y) + f (x - i y) = 2 f (x) - 2 f (y) \end{matrix}$ for all $x$ , $y \in X$ , then the mapping $f : X \to Y$ satisfies $f (x + y) + f (x - y) = 2 f (x) + 2 f (y)$ for all $x$ , $y \in X$ . Furthermore, they proved the generalized Hyers-Ulam stability of the functional equation () in complex Banach spaces. In this paper, we will adopt the idea of Park and Th. M. Rassias to prove the stability of a quadratic functional equation with complex involution via fixed point method.

Nonlinear triple-point problems on time scales.

Anderson, Douglas R. (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Non-negative continuous solutions of a functional inequality

Marek Kuczma (1979)

Annales Polonici Mathematici

Nonnegative linearization of orthogonal polynomials

Ryszard Szwarc (1996)

Colloquium Mathematicae

Non-oscillation of second order linear self-adjoint nonhomogeneous difference equations

N. Parhi (2011)

Mathematica Bohemica

In the paper, conditions are obtained, in terms of coefficient functions, which are necessary as well as sufficient for non-oscillation/oscillation of all solutions of self-adjoint linear homogeneous equations of the form $Δ (p_{n - 1} Δ y_{n - 1}) + q y_{n} = 0, n \geq 1,$ where $q$ is a constant. Sufficient conditions, in terms of coefficient functions, are obtained for non-oscillation of all solutions of nonlinear non-homogeneous equations of the type $Δ (p_{n - 1} Δ y_{n - 1}) + q_{n} g (y_{n}) = f_{n - 1}, n \geq 1,$ where, unlike earlier works, $f_{n} \geq 0$ or $\leq 0$ (but $\neg \equiv 0)$ for large $n$ . Further, these results are used to obtain...

Nonoscillatory solutions for nonlinear discrete systems

Marini, Mauro, Matucci, Serena, Řehák, Pavel (2002)

Equadiff 10

Nonoscillatory solutions of third order difference equations

Popenda, J., Schmeidel, E. (1992)

Portugaliae mathematica

Nontrivial solutions for fractional $q$ -difference boundary value problems.

Ferreira, Rui A.C. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Non-trivial solutions to certain matrix equations.

Li, Aihua, Randall, Duane (2002)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Nonuniqueness of implicit lattice Nagumo equation

Petr Stehlík, Jonáš Volek (2019)

Applications of Mathematics

We consider the implicit discretization of Nagumo equation on finite lattices and show that its variational formulation corresponds in various parameter settings to convex, mountain-pass or saddle-point geometries. Consequently, we are able to derive conditions under which the implicit discretization yields multiple solutions. Interestingly, for certain parameters we show nonuniqueness for arbitrarily small discretization steps. Finally, we provide a simple example showing that the nonuniqueness...

Nonwhere differentiable solutions of a system of functional equations. (Summary).

Roland Girgensohn (1993)

Aequationes mathematicae

Normenquadrat Über Gruppen

M. Hosszu, M. Csikó (1976)

Zbornik Radova

Note on a discretization of a linear fractional differential equation

Jan Čermák, Tomáš Kisela (2010)

Mathematica Bohemica

The paper discusses basics of calculus of backward fractional differences and sums. We state their definitions, basic properties and consider a special two-term linear fractional difference equation. We construct a family of functions to obtain its solution.

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