Difference, Functional, and Functional-Differential Equations (original) (raw)

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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.Linn, A.C.,Some functional equations in the theory of relativity, 1919.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. | | Aczel, J., Functional Equations: History, Applications and Theory, Kluwer, 2002 Handbook of Mathematics for Engineers and Scientists Castillo, E. and Ruiz-Cobo, R., Functional Equations In Applied Sciences, Elsevier, 2005 Cheng, S. S., Partial Difference Equations, Chapman & Hall/CRC Press, Boca Raton, 2003 Kelley, W. and Peterson, A., Difference Equations. An Introduction with Applications, Second Edition, Academic Press, 2000 Mustafa R.S. Kulenovic, M. R. S., and Merino, O., Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman & Hall/CRC Press, Boca Raton, 2002 | | 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