Making use of the pullbacks, we reformulate the following quadratic functional equation: f x y z f x f y f z f x y f y z f z x in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions such as tempered distributions and Fourier hyperf...

in this study, microspheres containing estradiol valerate were prepared by solvent evaporation method using poly (glycolide-co-lactide) (plga 50:50) and poly (lactide). the effect of different process variables such as polymer type, drugpolymer ratio, stirring rate, volume of internal phase and temperature of external phase on the morphology, particle size distribution, encapsulation efficiency...

In this note, we consider a question of Móri regarding estimating the deviation of the kth terms of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0, 1]. An optimal bound for distributions on finite support is obtained. Properties of Chebyshev polynomials are employed.

In this paper, a system reliability model subject to Dependent Competing Failure Processes (DCFP) with phase-type (PH) distribution considering changing degradation rate is proposed. When the sum of continuous and sudden exceeds soft failure threshold, occurs. The interarrival time between two successive shocks total number before hard occurring follow PH discrete distribution, respectively. ca...

Abstract We study the evolution of the energy (mode-power) distribution for a class of randomly perturbed Hamiltonian partial differential equations and derive master equations for the dynamics of the expected power in the discrete modes. In the case where the unperturbed dynamics has only discrete frequencies (finitely or infinitely many) the mode-power distribution is governed by an equation ...

A graph is an opposition graph, respectively, a coalition graph, if it admits an acyclic orientation which puts the two end-edges of every chordless 4-vertex path in opposition, respectively, in the same direction. Opposition and coalition graphs have been introduced and investigated in connection to perfect graphs. Recognizing and characterizing opposition and coalition graphs are long-standin...