[PDF] Top 20 Quadratic $alpha$-functional equations
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Quadratic $alpha$-functional equations
... The functional equation f (x + y) = f (x) + f(y) is called the Cauchy equation. In particular, every solution of the Cauchy equation is said to be an additive mapping. Hyers [19] gave a first affirmative partial ... See full document
9
Stability Problem of Ulam for Euler Lagrange Quadratic Mappings
... to become unbounded. The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem. A large ... See full document
15
Dhage iteration method for approximating positive solutions of quadratic functional differential equations
... Nonlinear functional differential equations occur in sev- eral problems of dynamic systems and have been studied in the literature for a long time via functional analytic meth- ...Similarly, ... See full document
13
General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
... type functional equa- tions, we frequently encounter the cases where we should prove the uniqueness of the cubic-quadratic-additive mappings (see ... See full document
12
A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
... a quadratic mapping, and an additive mapping, then we call f a quartic-cubic- quadratic-additive mapping and vice ...A functional equation is said to be a quartic-cubic-quadratic-additive ... See full document
26
Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
... of functional equa- tions to prove fixed point theorems and study some new applications in nonlinear ...of functional equations via the fixed point ... See full document
15
Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods
... 12. Czerwik, S., Functional Equations and Inequalities in Several Variables. World Scientific, River Edge, NJ, 2002. 13. Gavruta, P., A generalization of the Hyers-Ulam-Rassias stability of approximately ... See full document
8
On the Ulam type stability of several types of quadratic fuzzy set valued functional equations
... set-valued functional equations are introduced based on the space mentioned ...standard quadratic fuzzy set-valued functional equation by using the fixed point ...set-valued functional ... See full document
19
Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... [40] K. Ravi, J.M. Rassias and B.V. Senthil Kumar, Ulam stability of Reciprocal Difference and Adjoint Funtional Equations, The Australian J. Math. Anal.Appl. 8(1), Art.13 (2011), 1-18. [41] K. Ravi, J.M. Rassias ... See full document
17
Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2 Banach spaces
... for functional equations originates from a question of Ulam [28] concerning the stability of group ...of functional equations has been extensively investi- gated and generalized by many ... See full document
13
On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... for all x, y ∈ R. Thus the function H is quartic. Taking the limit m → ∞ in (.) with k = , H satisfies (.) near the approximate function f of the functional equation (.). The remaining proof is similar to ... See full document
13
DHAGE ITERATION METHOD FOR APPROXIMATING THE POSITIVE SOLUTIONS OF IVPS FOR NONLINEAR FIRST ORDER QUADRATIC NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAY AND MAXIMA
... [24] D.V. Mule and B.R. Ahirrao, Approximating solution of an initial and periodic boundary value problems for first order quadratic functional dif- ferential equations, Int. J. Pure Appl. Math., ... See full document
22
AQ-Functional Equation in Paranormed Spaces
... respectively satisfies the equations (1.1) and (1.2) . Recently J. M. Rassias and H.M.Kim [9] investigated Generalized Hyers-Ulam stability for general additive functional equations in quasi- ... See full document
11
Numerical simulation of continuity equations by evolving diffeomorphisms
... energy functional with respect to the quadratic transportation ...continuity equations, whose dynamics are driven by internal energies, given external po- tentials and/or interaction ... See full document
25
Stability of quartic mappings in fuzzy Banach spaces
... Problems concerning stability of group homomorphisms was first posed by Ulam [13] in 1940, In the next year, Hyers [11] gave an affirmative answer to the question of Ulam in Banach spaces. The notion of fuzzy stability ... See full document
11
On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
... 2. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 3. Aoki, T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. 2, ... See full document
12
Stability of quadratic functional equations in generalized functions
... S: Functional Equations and Inequalities in Several ...of Functional Equations in Several ...P: Functional Equations and Inequalities with ... See full document
15
On the Stability of Functional Equations in Random Normed Spaces
... are said to be Jensen- Type Quadratic functional equations. In 2009, S.Y.Jang, Rye Lee, Choonkil Park, and Dong Yun Shin [24] proved the Fuzzy stability of equation (1.3) and (1.4). The notion of a ... See full document
10
Stability of quadratic functional equations in tempered distributions
... In this paper, we solve the general solution and the stability problem of (.) in the spaces of generalized functions such as S of tempered distributions and F of Fourier hyperfunc- tions. Using pullbacks, Chung and Lee ... See full document
11
Quadratic Quartic Functional Equations in RN Spaces
... The Hyers-Ulam-Rassias stability problem for the quadratic functional equation 1.3 was proved by Skof for mappings f : A → B, where A is a normed space and B is a Banach space see 14. Cholewa 15 noticed ... See full document
14
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