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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…