نتایج جستجو برای: cauchy functional equation

تعداد نتایج: 809958  

Journal: :Communications of the Korean Mathematical Society 2012

Iyaya Wanjala

n this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem. 

Journal: :Statistics & Probability Letters 2021

We describe the class of functions f:Rn→Rm which transform a vector Brownian Motion into martingale and use this description to give characterization general measurable solution multidimensional Cauchy functional equation.

2012
Peter J. VASSILIOU

The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied. The target manifold is distinguished by the fact that the Euler–Lagrange equation for the energy functional is Darboux integrable. The time evolution of the Cauchy data is reduced to an ordinary differential equation of Lie type associated t...

Journal: :Journal of Inequalities and Applications 2022

Abstract In this paper we give some hyperstability and stability results for the Cauchy Jensen functional equations on restricted domains. We provide a simple short proof Brzde?k’s result concerning equation.

2005
Lionel Rosier Pierre Rouchon

We study the boundary controllability properties of a wave equation with structural damping ytt− yxx− 2ytxx = 0, y(0, t) = 0, y(1, t) = h(t) where 2 is a strictly positive parameter depending on the damping strength. We prove that this equation is not spectrally controllable and that the approximate controllability depends on the functional space in which the initial value Cauchy problem is stu...

2009
Young-Su Lee Soon-Yeong Chung Rigoberto Medina

One of the interesting questions concerning the stability problems of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to the solution of the given functional equation? Such an idea was suggested in 1940 by Ulam 1 . The case of approximately additive mappings was solved by Hyers 2 . In 1978, Rassias 3 generalized Hye...

2006
MATHIAS CHARTON HANS-JÜRGEN REINHARDT

In this contribution we deal with the development, theoretical examination and numerical examples of a method of lines approximation for the Cauchy problem for elliptic partial differential equations. We restrict ourselves to the Laplace equation. A more general elliptic equation containing a diffusion coefficient will be considered in a forthcoming paper. Our main results are the regularizatio...

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