tailieunhanh - Báo cáo hóa học: "Lattictic non-archimedean random stability of ACQ functional equation"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Lattictic non-archimedean random stability of ACQ functional equation | Cho and Saadati Advances in Difference Equations 2011 2011 31 http content 2011 1 31 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access Lattictic non-archimedean random stability of ACQ functional equation Yeol Je Cho1 and Reza Saadati2 Correspondence rsaadati@ 2Department of Mathematics Science and Research Branch Islamic Azad University Tehran . Iran Full list of author information is available at the end of the article Springer Abstract In this paper we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation Ilf x 2y 11f x - 2y 1 44f x y 44f x - y 12f 3y - 48f 2y 60f y - 66f x in various complete lattictic random normed spaces. Mathematics Subject Classification 2000 Primary 54E40 Secondary 39B82 46S50 46S40. Keywords Stability Random normed space Fixed point Generalized Hyers-Ulam stability Additive-cubic-quartic functional equation Lattice non-Archimedean normed spaces 1. Introduction Probability theory is a powerful hand set for modeling uncertainty and vagueness in various problems arising in the field of science and engineering. It has also very useful applications in various fields . population dynamics chaos control computer programming nonlinear dynamical systems nonlinear operators statistical convergence and others. The random topology proves to be a very useful tool to deal with such situations where the use of classical theories breaks down. The usual uncertainty principle of Werner Heisenberg leads to a generalized unc ertainty principle which has been motivated by string theory and non-commutative geometry. In strong quantum gravity regime space-time points are determined in a random manner. Thus impossibility of determining the position of particles gives the space-time a random structure. Because of this random structure position space representation of quantum mechanics breaks down and so a generalized normed space of .

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