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Methods for Solving Difference, Functional and Functional-Differential Equations

• Dorodnitsyn, V. and Kozlov, R., A heat transfer with source: the complete set of invariant difference schemes, J. Nonlinear Math. Physics, Vol. 10, No. 1, 2003.
• Dorodnitsyn, V., Kozlov, R., and Winternitz, P., Continuous symmetries of Lagrangians and exact solutionss of discrete equations, arXiv:nlin/0307042v1, 23 Jul 2003.
• Dorodnitsyn, V., On the linearization of second-order differential and difference equations, Symmetry, Integrability and Geometry: Methods and Applications, Vol. 2, 2006.
• Gronau, D., A remark on Sincov's functional equation, 2000.
• Kindermann, L., Lewandowski, A., and Protzel, P., A framework for solving functional equations with neural networks, 2001.
• Linchuk, L.V., On group analysis of functional differential equations, 2000.
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• Polyanin, A.D. and Zhurov, A.I., Solution of functional equations and functional-differential equations by the differentiation method, EqWorld, 2004.
• Polyanin, A.D. and Zhurov, A.I., Solution of nonlinear functional and functional-differential equations by reduction to the bilinear functional equation, EqWorld, 2004.
• Polyanin, A.D. and Zhurov, A.I., Solution of functional equations by argument elimination method, EqWorld, 2005.
• Polyanin, A.D. and Zhurov, A.I., A solution method for some classes of nonlinear integral, integro-functional, and integro-differential equations, EqWorld, 2007.
• Wolfram, D.A., A formula for the general solution of a constant-coefficient difference equation, 2000.
• Zerizer, T., Perturbation method for linear difference equations with small parameters, Advances in Difference Equations, 2006, Art. ID 19214, pp. 1-12.
• Guglielmi, N. and Hairer, E., Stiff delay equations, From Scholarpedia, 2007.
• Skip Thompson, S., Delay-differential equations, From Scholarpedia, 2007.