[PDF] Top 20 Remarks on the stability of some quadratic functional equations

... if the norm of the difference between the LHS and the RHS of one of equations (1) or (2), calculated for a function g is say, dominated by a function ϕ in two ... See full document

... problem of locating roots of nonlinear equations (or zeros of functions) occurs frequently in scientific ...introduced some techniques for solving nonlinear equations. The ... See full document

... was the single hypothesis considered for the validity of that characterization, which is an insufficient condition if the ratio R of convergence of the power series ... See full document

... solution of the monomial functional equation of degree n is said to be a monomial mapping of degree ...additive, quadratic, cubic and quartic functions are monomials of ... See full document

... From the choice of Ω there is no y ∈ ∂Ω such that y = λ F(y) for some λ ∈ (0, ...Then the statement (C2) in Theorem 2.2 does not hold. The nonlinear alternative of Leray-Schauder ... See full document

... plan of the paper is as follows. In Chapter I, we introduce the notations, de- finitions, assumptions and auxiliary theorems: on the existence and uniqueness of the ... See full document

... in the relevant literature, work on stability and boundedness of solution for certain third order nonlinear differential equations where the nonlinear and the forcing ... See full document

... in some literature. Later, the authors in [35] based on the results in [6] have extended the method used in [6] to construct new Lyapunov functions to investigate the ... See full document

... objective of the paper is to stabilize an electric vehicle in optimal manner to a step lane change ...define the mathematical model of the vehicle, the rigid body moving ... See full document

... 2002), the proposed approach is convex but in some cases may be more conservative than the usual LMI conditions based on quadratic stability, this behavior relies on ... See full document

... work the possibility to analyze the quadratic Lié- nard type equation in the situation of overdamped, criti- cally damped, underdamped and periodic oscillations is ex- ...class ... See full document

... give the definitions and introduce some notations which will be used in the forthcoming ...study the stability in the Laguerre-Hahn class, and give some examples of ... See full document

... assume the existence of a classical solution of problems ...Theorems on the existence and uniqueness of such solutions for some special parabolic differential ... See full document

... space-discretization on structured grids, and an explicit multistage Runge-Kutta time integration ...i.e. the unsteady governing systems are solved with steady boundary con- ditions and stationary solutions ... See full document

... computing the minimal distance of cyclic codes, due to Chen [2], proceeds by searching for low weight codewords among the codewords with few nonzero information ...follows the same strategy, ... See full document

... development of steel grades for responsible engineering castings consists mainly in systematic increase of the imposed ...is the reason why the low-alloy structural steels of ... See full document

... In this paper, using fixed point method we prove the generalized Hyers-Ulam stability of a quadratic quartic functional equation for fixed integers k with k 6 = 0, ± 1 in para- normed sp[r] ... See full document

... Over the last twenty years the property of n-permutability of congruences in a variety of universal algebras has been investigated from a categorical perspective (see [7, 13, 19], for ... See full document

... microstructure of the binary ZnAl26 alloy poured into a sand mould is shown in ...shows the microstructure obtained in the same conditions, but after addition of the ...into ... See full document

... one of the dominant gnaphosid genera in ...to the subfami- ly ...by the lattened retrolateral tibial apophysis in males, and by the presence of paired lateral epigynal arms in ... See full document