10 citations · 38 across the 8 of their papers we have counts for
9 papers
General Representation of Nonlinear Green's Function for Second Order Differential Equations Nonlinear in the First Derivative
Marco Frasca, Asatur Khurshudyan
The Green's function method which has been originally proposed for linear systems has several extensions to the case of nonlinear equations. A recent extension has been proposed to…
Green's functions for higher order nonlinear equations
Marco Frasca, Asatur Zh. Khurshudyan
The well-known Green's function method has been recently generalized to nonlinear second order differential equations. In this paper we study possibilities of exact Green's functio…
A General Representation for the Green's Function of Second Order Nonlinear Differential Equations
Marco Frasca, Asatur Khurshudyan
In this paper we study some classes of second order non-homogeneous nonlinear differential equations allowing a specific representation for nonlinear Green's function. In particula…
New Green's functions for some nonlinear oscillating systems and related PDEs
Asatur Khurshudyan
During the past three decades, the advantageous concept of the Green's function has been extended from linear systems to nonlinear ones. At that, there exist a rigorous and an appr…
Extending the Algebraic Manipulability of Differentials
Jonathan Bartlett, Asatur Zh. Khurshudyan
Treating differentials as independent algebraic units have a long history of use and abuse. It is generally considered problematic to treat the derivative as a fraction of differen…
Phenomenological modification of horizon temperature
M. Khurshudyan, As. Khurshudyan
In this paper a study of the accelerated expansion problem of the large scale universe is presented. To derive Friedmann like equations, describing the background dynamics of the r…
Some interacting dark energy models
Martiros Khurshudyan, Asatur Khurshudyan
In this paper we study new cosmological models involving new forms of non-gravitational interaction between cold dark matter and dark energy. The main purpose is to demonstrate the…
Non-linear logarithmic interactions and a varying polytropic gas
M. Khurshudyan, M. Hakobyan, As. Khurshudyan
In this paper we will demonstrate possible existence of more exotic forms of interaction taking into account, that dark energy can be parametrized as a varying polytropic uid sugge…
On cosmology of interacting varying polytropic dark fluids
Martiros Khurshudyan, Asatur Khurshudyan
In this paper a possibility of the accelerated expansion of the large scale universe with a varying polytropic fluid of a certain type is presented. About a special role of non-gra…