Stability of equilibrium points of fractional difference equations with stochastic perturbations.
Stability of functional inequalities with Cauchy-Jensen additive mappings.
Stability of general Newton functional equations for logarithmic spirals.
Stability of generalized additive Cauchy equations.
Stability of generalized quadratic functional equation on a set of measure zero
In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation [...] where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.
Stability of homomorphisms and generalized derivations on Banach algebras.
Stability of Jungck-type iterative procedures.
Stability of linear dynamic systems on time scales.
Stability of mixed type cubic and quartic functional equations in random normed spaces.
Stability of multipliers on Banach algebras.
Stability of nonlinear autonomous quadratic discrete systems in the critical case.
Stability of nonlinear functional difference equations.
Stability of nonlinear -difference systems with fractional orders
In the paper we study the subject of stability of systems with -differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with fractional orders. The equivalent descriptions of fractional -difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with -orders.
Stability of normal regions for linear homogenous functional equations.
Stability of quadratic functional equations via the fixed point and direct method.
Stability of quartic functional equations in the spaces of generalized functions.
Stability of solutions for a family of nonlinear difference equations.
Stability of the Cauchy equation in ordered fields.
Stability of the Cauchy functional equation in quasi-Banach spaces
Let X be a quasi-Banach space. We prove that there exists K > 0 such that for every function w:ℝ → X satisfying ||w(s+t)-w(s)-w(t)|| ≤ ε(|s|+|t|) for s,t ∈ ℝ, there exists a unique additive function a:ℝ → X such that a(1)=0 and ||w(s)-a(s)-sθ(log₂|s|)|| ≤ Kε|s| for s ∈ ℝ, where θ: ℝ → X is defined by for k ∈ ℤ and extended in a piecewise linear way over the rest of ℝ.
Stability of the Cauchy-Jensen functional equation in -algebras: a fixed point approach.