[PDF] Top 20 Quadratic differentials as stability conditions

... The quadratic differentials we consider live on Riemann surfaces S whose underlying smooth surface is obtained from S by collapsing each boundary component to a ... See full document

... global stability results for the equilibrium solution(s) of ...effective conditions for global asymptotic stabil- ity of the equilibrium solution(s) of ... See full document

... following conditions: a ∗ is associative and commutative; b ∗ is continuous; c a∗ 1 a for all a ∈ 0, 1; d a∗b ≤ c∗ d whenever a ≤ c and b ≤ d for each a, b, c, d ∈ 0, ... See full document

... “give conditions in order for a linear mapping near an approximately linear mapping to ...Ulam stability problem: “when is it true that by changing a little the hypotheses of a theorem one can still assert ... See full document

... equation: f(kx + ly) + f(kx – ly) = f (kx) + f (x) + 1 2 (k – 1)[(k + 2)f (x) + kf(–x)] + l 2 [f (y) + f(–y)] (k,l ∈ Z\{0}) in β -Banach modules on a Banach algebra. In addition, we show that under some suitable ... See full document

... See also [15]. Gil´ anyi [7] and Fechner [4] proved the Hyers-Ulam stability of the functional inequality (1.1). Park, Cho and Han [13] proved the Hyers-Ulam stability of additive functional inequalities. ... See full document

... the conditions (A), (B) will be needed to derive a quadratic mapping, and one of the conditions (C), (D) will be required to derive an additive mapping in the following ... See full document

... of quadratic double centralizers and of quadratic multipliers on Banach algebras by fixed point ...the conditions of being weakly commutative and weakly without order which are used in the work of ... See full document

... The stability problem of functional equations was originally raised by Ulam [8] in ...what conditions does there exist an additive mapping near an approximately additive mapping? In 1941, this problem was ... See full document

... Hyers-Ulam-Rassias stability of the Jensen type quadratic and additive functional equation 9f ( x+y+z 3 ) + 4[f ( x–y 2 ) + f ( y–z 2 ) + f ( z–x 2 )] = 3[f (x) + f (y) + f(z)] under the approximately ... See full document

... the stability of group homomorphisms was posed by Ulam ...some conditions. This stability concept is also applied to the case of various functional equations by a number of ...the stability of ... See full document

... Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f x 2y f x − 2y 2f x y 2f − x − y 2fx − y 2f y − x − 4f−x − 2fx f2y f−2y − 4fy − 4f−y in complete random normed ... See full document

... an additive functional equations. Also, we obtain its general solution from the stability results. Copyright q 2008 Kil-Woung Jun et al. This is an open access article distributed under the Creative Commons ... See full document

... We do not present the estimation results from the first-step regression since they did not differ significantly from the expected dummy variables for industry-by-year pairs. Table 3 displays the results of the second ... See full document

... Figure 1(a) ,1(b) , 1(c) and 1(d) are show that the default C 1 quadratic trigonometric spline for data in table I, II, III and IV respectively. Figure 2(a) and 2(b) are drawn by rational cubic function with three ... See full document

... The stability problem of functional equations originated from a question of Ulam 13 concerning the stability of group ...Hyers-Ulam stability or as Hyers- Ulam-Rassias stability of functional ... See full document

... Hyers-Ulam stability of a pexiderized quadratic equation. The stability problems of several functional equations have been extensively investigated by a number of authors and there are many ... See full document

... The functional equation 1.1 was first solved by Kannappan 15. In fact, he proved that a function on a real vector space is a solution of 1.1 if and only if there exist a symmetric biadditive function B and an additive ... See full document

... For uncertain linear systems we consider stability problem through common quadratic Lyapunov functions CQLF and problem of stabilization by linear feedback... Keywords Common Quadratic L[r] ... See full document

... Corollary 2.4 . Assume that (X, ⊥ ) is an orthogonality normed space. Let θ be a posi- tive real number and p a real number with p > 2. Let f : X ® Y be an even mapping satisfying f(0) = 0 and (2.7). Then, there ... See full document