Results 31 to 40 of about 1,098,671 (288)

Asymptotic stability of the Cauchy and Jensen functional equations [PDF]

, 2016
The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a ...
A. Bahyrycz, A. Bahyrycz, D.G. Bourgin, D.H. Hyers, G.-L. Forti, G.-L. Forti, J. Brzdȩk, K. Nikodem, L. Losonczi, L. Maligranda, L. Székelyhidi, M. Piszczek, R. Badora, R. Badora, R. Badora, S.-M. Jung, T. Aoki, Th.M. Rassias, Zs. Páles, Á. Száz   +19 more
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Quantum mechanics on Hilbert manifolds: The principle of functional relativity

, 2006
Quantum mechanics is formulated as a geometric theory on a Hilbert manifold. Images of charts on the manifold are allowed to belong to arbitrary Hilbert spaces of functions including spaces of generalized functions. Tensor equations in this setting, also
A. Kryukov, A. Kryukov, A. Kryukov, Alexey A. Kryukov, I.M. Gel’fand   +4 more
core   +2 more sources

Functional evolution equations

Journal of Mathematical Analysis and Applications, 2003
The paper concerns the functional evolution equation \[ u'(t) \in B u + F(t, u_t) , \;\;t >0, \] \[ u_0(s)= \phi(s)\in C^1([-r,0];X), \] where \(X\) is a real Banach space, not necessarily reflexive, \(F : [0,\infty) \times C([-r,0];X) \to X \) is a single-valued function and \(B: D(B)\subset X \to X\) is a multi-valued nonlinear operator.
openaire   +2 more sources

System of delay difference equations with continuous time with lag function between two known functions

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The asymptotic behavior of solutions of the system of difference equations with continuous time and lag function between two known real functions is studied.
Hajnalka Péics, Andrea Rožnjik, Valeria Pinter Krekić, Márta Takács   +3 more
doaj   +1 more source

Some Economic Dynamics Problems for Hybrid Models with Aftereffect

Mathematics, 2020
In this paper, we consider a class of economic dynamics models in the form of linear functional differential systems with continuous and discrete times (hybrid models) that covers many kinds of dynamic models with aftereffect.
Eugene Bravyi, Vladimir Maksimov, Pyotr Simonov   +2 more
doaj   +1 more source

Calculations of single particle spectra in density functional theory

, 2000
In the context of the density functional theory we consider the single particle excitation spectra of electron systems. As a result, we have related the single particle excitations with the eigenvalues of the corresponding Kohn-Sham equations.
Amusia, M. Ya., Shaginyan, V. R.
core   +1 more source

On a Characterization of Exponential and Double Exponential Distributions

Revstat Statistical Journal
Recently, G. Yanev obtained a characterization of the exponential family of distributions in terms of a functional equation for certain mixture densities.
Reza Rastegar, Alexander Roitershtein
doaj   +1 more source

The embedding problem in iteration theory

ESAIM: Proceedings and Surveys, 2014
This is a survey paper on selected topics concerning the embeddability of given mappings in real flows. Particular attention will be paid to the relationship between the problem of the embeddability and functional equations.Let X be a
Zdun Marek Cezary
doaj   +1 more source

Functional Methods in Stochastic Systems

, 2012
Field-theoretic construction of functional representations of solutions of stochastic differential equations and master equations is reviewed. A generic expression for the generating function of Green functions of stochastic systems is put forward ...
A.N. Vasiliev, A.N. Vasil’ev, B.P. Lee, C.W. Gardiner, H. Leschke, J. Honkonen, J. Honkonen, M. Doi, M. Hnatich, P.C. Martin   +9 more
core   +1 more source

Andrews Style Partition Identities [PDF]

, 2013
We propose a method to construct a variety of partition identities at once. The main application is an all-moduli generalization of some of Andrews' results in [5].
Kursungoz, Kagan, Kurşungöz, Kağan
core   +5 more sources