[PDF] Top 20 Stability of Cubic Functional Equation in the Spaces of Generalized Functions
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Stability of Cubic Functional Equation in the Spaces of Generalized Functions
... If p < 0 or q < 0, the right-hand side of (1.7) does not define a distribution and so inequality (1.7) makes no sense. If p,q = 3, it is not guaranteed whether Hyers-Ulam- Rassias stability of (1.5) is hold ... See full document
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Stability of Quartic Functional Equations in the Spaces of Generalized Functions
... quartic functional equations does not ...Ulam-Rassias stability of ...Hyers-Ulam-Rassias stability of 1.4 in the spaces of some generalized functions such as S R n of tempered ... See full document
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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
... quadratic functional equation: f xy z fx fy fz fx y fy z fz x in the spaces of generalized ...heat equation, we obtain the general solution and prove the Hyers-Ulam stability of ... See full document
12
Stability of an additive functional equation in the spaces of generalized functions
... the equation for the spaces of generalized ...heat equation we solve the general solutions and the stability problems of this equation in the spaces of tempered ... See full document
11
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... on stability of equation g ax a s gx a, s ∈ N, a ≥ 2 in random normed spaces and derive from it results on stability of equation f4x 10f2x − ...Ulam-Hyers stability for the ... See full document
16
On the stability of a cubic functional equation in random 2 normed spaces
... Banach spaces and then generalized by Aoki [3] and Rassias [4] for additive mappings and linear mappings, ...several stability problems for various functional equations have been investigated ... See full document
10
Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... The theory of fuzzy sets was introduced by Zadeh [] in . After the pioneering work of Zadeh, there has been a great effort to obtain fuzzy analogues of classical theories. Among other fields, a progressive development ... See full document
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SOLUTION AND STABILITY OF CUBIC FUNCTIONAL EQUATION IN FUZZY NORMED SPACES
... Intmodellingtappliedtproblemstonlytpartialtinformationtmaytbet knownt(or)ttheretmaytbetatdegreetoftuncertaintytintthetparame terstusedtintthetmodeltortsometmeasurementstmaytbetimpreci se[r] ... See full document
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A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... Throughout this paper, assume that (X ,P) is a Fr´echet space and (Y, || · ||) is a Banach space. One can easily show that an odd mapping f : X → Y satisfies (11) if and only if the odd mapping f : X → Y is an ... See full document
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Functional equations and inequalities in paranormed spaces
... Hyers-Ulam stability of the Cauchy additive functional equa- tion, the quadratic functional equation ...the cubic functional equation (.) and the quartic ... See full document
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On the stability of a mixed type functional equation in generalized functions
... consider equation (1.1) in the spaces of generalized functions such as the space S (R) of tempered distributions and the space F (R) of Fourier hyperfunc- ...reformulate equation (1.1) ... See full document
11
Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
... a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic ...vector spaces X and Y is a solution of ... See full document
16
Nonlinear Fuzzy stability of cubic functional equations
... the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...the stability of J* ... See full document
19
A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi Normed Spaces
... Ulam-Hyers stability problem for these cubic ...the functional equation 1.2, which is called a cubic functional equation and every solution of the cubic ... See full document
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A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... a cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation ...the generalized Hyers-Ulam-Rassias stability for the ... See full document
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Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic ...vector spaces X and Y is a solution of ... See full document
9
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
... the generalized Hyers- Ulam stability of the functional equation ...Banach spaces for an even case. In Section 4, we prove the generalized Hyers-Ulam stability of the ... See full document
22
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... the stability of functional ...Banach spaces. In 1978, Hyers theorem was generalized by ...This stability results is known as generalized Hyers-Ulam stability of ... See full document
19
Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces
... the functional equation ...of functional equation 1.7 when f is a function between vector spaces, and then we prove the generalized Hyers-Ulam stability of ... See full document
19
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
... are functions f : G → Y between two vector spaces while p, h are given functions, p −1 is the inverse of p, and k / 0 is a fixed ...a generalized stability result in Ulam-Hyers sense ... See full document
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