# General Representation of Nonlinear Green's Function for Second Order Differential Equations Nonlinear in the First Derivative

@article{Frasca2018GeneralRO, title={General Representation of Nonlinear Green's Function for Second Order Differential Equations Nonlinear in the First Derivative}, author={Marco Frasca and Asatur Zh. Khurshudyan}, journal={arXiv: Mathematical Physics}, year={2018} }

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 deal with certain applications in quantum field theory. The general solution of second order nonlinear differential equations is represented in terms of a so-called short time expansion. The first term of the expansion has been shown to be an efficient approximation of the solution for small values of the state…

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