Results 21 to 30 of about 3,258,064 (367)
Higher-order Laplace equations and hyper-Cauchy distributions [PDF]
, 2013 In this paper we introduce new distributions which are solutions of higher-order Laplace equations. It is proved that their densities can be obtained by folding and symmetrizing Cauchy distributions.
D'Ovidio, Mirko, Orsingher, Enzo
core +1 more source
Integral Formula for the Characteristic Cauchy Problem on a curved Background [PDF]
, 2009 We give a local integral formula, valid on general curved space-times, for the characteristic Cauchy problem for the Dirac equation with arbitrary spin using the method developed by Friedlander in his book "the wave equation on a curved spacetime" (1975).
Blaine Lawson +22 more
core +4 more sources
THE SOLUTION OF EULER-CAUCHY EQUATION EXPRESSED BY DIFFERENTIAL OPERATOR USING LAPLACE TRANSFORM
, 2013 It is well known fact that the Laplace transform is useful in solving linear ordinary differential equations with constant coefficients such as free/forced oscillations, but in the case of differential equation with variable coefficients is not. In here,
H. Kim
semanticscholar +1 more source
Singularly perturbed linear oscillator with piecewise-constant argument
Вестник КазНУ. Серия математика, механика, информатика, 2018 The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
doaj +1 more source
Alienation of Drygas’ and Cauchy’s Functional Equations
Annales Mathematicae Silesianae, 2021 Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g ...
Aissi Youssef +2 more
doaj +1 more source
The stability for the Cauchy problem for elliptic equations [PDF]
Inverse Problems, 2009 57 pages, review ...
ALESSANDRINI, GIOVANNI +3 more
openaire +7 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj +1 more source
Stability of generalized Cauchy equations [PDF]
Aequationes mathematicae, 2014 We investigate the stability of the functional equation f(xy )= g(x)h(y )+ k(y) on amenable semigroups. This equation is a common generalization of two Pexider equations stemming from Cauchy's additive and multiplicative functional equations, and it is a simple case of the Levi-Civita equation. Mathematics Subject Classification.
Badora, Roman +2 more
openaire +2 more sources
SEVERAL REPRESENTATIONS OF THE EULER-CAUCHY EQUATION WITH RESPECT TO INTEGRAL TRANSFORMS
, 2013 The subjects on the solution of differential equations with variable coefficients have aroused the interest of many researchers. Existing many in- tegral transforms are playing a role to get the solution of it.
Ingoo Cho, Hwajoon Kim
semanticscholar +1 more source
Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy ...
Vsevolod Zhanovich Sakbaev
doaj +1 more source