Results 21 to 30 of about 259 (61)
Stochastic processes and antiderivational equations on non‐Archimedean manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 31, Page 1633-1651, 2004., 2004 Stochastic processes on manifolds over non‐Archimedean fields and with transition measures having values in the field ℂ of complex numbers are studied. Stochastic antiderivational equations (with the non‐Archimedean time parameter) on manifolds are investigated.
S. V. Ludkovsky
wiley +1 more source
On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces
Journal of Inequalities and Applications, 2013 We study the notion of non-Archimedean fuzzy 2-normed space over a non-Archimedean field and prove that the Mazur-Ulam theorem holds under some conditions in the non-Archimedean fuzzy 2-normed space.MSC:46S10, 47S10, 26E30, 12J25.
Heejeong Koh, Dongseung Kang
semanticscholar +2 more sources
Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces
Journal of Inequalities and Applications, 2012 Using the fixed point method, we investigate the Hyers-Ulam stability of the system of additive-cubic-quartic functional equations with constant coefficients in non-Archimedean 2-normed spaces.
Choonkill Park +3 more
semanticscholar +2 more sources
A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
, 2011 Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stability of the following functional equation f(mx+ny)=(m+n)f(x+y)2+(m-n)f(x-y)2 in non-Archimedean normed spaces and in random normed spaces, where m, n are ...
H. A. Kenary, S. Jang, Choonkill Park
semanticscholar +1 more source
On Phase Transitions for $P$-Adic Potts Model with Competing Interactions on a Cayley Tree [PDF]
, 2006 In the paper we considere three state $p$-adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the $p$-adic Gibbs measures to the solution of certain recursive equation, and using it we will ...
Mendes, Jose Fernando F. +2 more
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2673-2688, 2003., 2003 We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
wiley +1 more source
Fixed points and approximately heptic mappings in non-Archimedean normed spaces
Advances in Differential Equations, 2013 Using the fixed point method, we investigate the stability of the system of additive, quadratic and quartic functional equations with constant coefficients in non-Archimedean normed spaces.
Choonkill Park +4 more
semanticscholar +2 more sources
On non-Archimedean recurrence equations and their applications [PDF]
, 2014 In the present paper we study stability of recurrence equations (which in particular case contain a dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra.
Akin, Hasan, Mukhamedov, Farrukh
core +1 more source
Stochastic processes on non‐Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 21, Page 1341-1363, 2003., 2003 Non‐Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of stochastic antiderivations. The non‐Archimedean analog of the Itô formula is proved.
S. V. Ludkovsky
wiley +1 more source
Stochastic antiderivational equations on non‐Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2587-2602, 2003., 2003 Stochastic antiderivational equations on Banach spaces over local non‐Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non‐Archimedean analog of the Gaussian measure.
S. V. Ludkovsky
wiley +1 more source