Recently added articles from Tamsui Oxford Journal of Mathematical Sciences:
On ([psi], [gamma])--stability of quadratic equation on groups.
Dec 15, 2008; ... 1. Introduction In 1940 to the audience of the Mathematics Club of the University of Wisconsin S. M. Ulam presented a list of unsolved problems (20). One of these problems can be considered as the starting point of a new line of investigations: the stability problem. The problem ...
On the isometric extension problem: a survey.
Dec 15, 2008; ... 1 Isometric extension problem Recall that if (E, [d.sub.E]) and (F, [d.sub.F]) are metric spaces then a mapping V from E into F is said to be an isometry if [d.sub.F](V[x.sub.1],V[x.sub.2]) = [d.sub.E]([x.sub.1], [x.sub.2]) for all [x.sub.1], [x.sub.2][member of]E. ...
On the stability of orthogonal functional equations.
Dec 15, 2008; ... 1. Introduction and preliminaries Assume that X is a real inner product space and f : X [right arrow] R is a solution of the orthogonal Cauchy functional equation f(x + y) = f(x) + f(y), [??]x,y[??] = 0. By the Pythagorean theorem f(x) = [||x||.sup.2] is a solution of the ...
Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in non--Archimedean spaces.
Dec 15, 2008; ... 1. Introduction The stability problem of functional equations originated from a question of S.M. Ulam (25) concerning the stability of group homomorphisms: Let [G.sub.1] be a group and let [G.sub.2] be a metric group with the metric d(., .). Given [epsilon] > 0, does there exist ...
On the Hyers-Ulam stability of a system of Euler differential equations of first order.
Dec 15, 2008; ... 1. Introduction Assume that X is a normed space over a scalar field K and that I is an open interval, where K denotes either R or C. Let [a.sub.0], [a.sub.1], ..., [a.sub.n]: I [right arrow] K be given continuous functions, let g: I [right arrow] X be a given continuous ...
Stability of generalized Lie ([sigma], [tau])-derivations.
Dec 15, 2008; ... 1. Introduction The stability of functional equations was started in 1940 with a problem raised by S. M. Ulam (14). In 1941 Hyers affirmatively solved the problem of S. M. Ulam in the context of Banach spaces. In 1950 T. Aoki (1) extended the Hyers' theorem. In 1978, Th. M ....
Coincidences and fixed points of hybrid contractions.
Dec 15, 2008; ... 1. Introduction Hybrid fixed point theory is a recent development is the ambit of fixed point theorems for contracting single-valued and multivalued maps in metric spaces. Indeed, the study of such maps was initiated during 1980-83 by Bhaskaran and Subrahmanyam (2), Hadzic (10), ...
Superstability of higher derivations in multi-Banach algebras *.
Dec 15, 2008; ... 1. Introduction and preliminaries One of essential questions in the theory of functional equations giving the notion of stability is "When is it true that the solution of an equation differing slightly from a given one, must be close to the solution of the given equation?" The ...
On the generalized Hyers-Ulam stability of the generalized polynomial function of degree 3.
Dec 15, 2008; ... 1. Introduction Throughout this paper, let V be a vector space and Y a Banach space. Let n be a positive integer. For a given mapping f : V [right arrow] Y, define mappings [C.sub.n]f, [D.sub.n]f : V x V [right arrow] Y by [E.sub.n]f(x,y) := [n.summation over (i = ...
Ger type stability of the first order linear differential equation y'(t) = h(t)y(t).
Dec 15, 2008; ... 1. Introduction It seems that the stability problem of functional equations had been first raised by S. M. Ulam (cf. [(24), Chapter VI]). "For what metric groups G is it true that an [epsilon]-automorphism of G is necessarily near to a strict automorphism? (An ...
Distortion inequalities for the Dziok-Srivastava linear operator involving the Generalized hypergeometric function.
Dec 01, 2008; ... S. P. Goyal [dagger] and Manita Bhagtani [double dagger] Department of Mathematics, University of Rajasthan Jaipur 302004, Rajasthan, India Received December 4, 2006, Accepted January 31, ...
Unified treatment for Harmonic univalent functions.
Dec 01, 2008; ... S. B. Joshi [dagger] Department of Mathematics, Walchand College of Engineering Sangli,Maharashtra, India 416 415 and M. Darus [double dagger] School of Mathematical Sciences, Faculty of Science and Technology, Universiti ...
Completely 2-primal ideals in near-rings.
Dec 01, 2008; ... P. Dheena [dagger] and G. SatheeshKumar [double dagger] Department of Mathematics, Annamalai University Annamalainagar - 608 002, India Received February 5, ...
Some theorems on Ramanujan's Cubic continued fraction and related identities.
Dec 01, 2008; ... M. S. Mahadeva Naika [dagger] Department of Mathematics, Bangalore University, Central College Campus, Bangalore-560 001, Karnataka, India ...
Exact solutions of time-dependent Navier-Stokes equations by hodograph-Legendre transformation method.
Dec 01, 2008; ... Muhammad R. Mohyuddin [dagger] Department of Science in Enginnring, Kulliyyah of Engineering, International Islamiz University Malaysia, Jalan Gombak, 53100 Kuala Lumpur A. M. Siddiqui [double dagger] Pennsylvania State University, York Campus, York, PA ...
On a double inequality for the Dirichlet beta function.
Dec 01, 2008; ... P. Ceroney [double dagger] School of Computer Science and Mathematics, Victoria University, PO Box 14428, Melbourne 8001, Victoria, Australia. Received February 22, 2007, Accepted ...
On starlike and Convex functions with respect to 2k-symmetric conjugate points.
Dec 01, 2008; ... Zhi-Gang Wang [dagger] and Chun-Yi Gao [double dagger] College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076 Hunan, People's Republic of China ...
On Volterra and Fredholm type integrodifferential equations.
Dec 01, 2008; ... B. G Pachpatte [dagger] 57 Shri Niketan Colony, Near Abhinay Talkies, Aurangabad 431 001 (Maharashtra) India Received March ...