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Methods > Difference, Functional and Functional-Differential Equations
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.
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Gronau, D.,
A remark on Sincov's functional equation, 2000.
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Kindermann, L., Lewandowski, A., and Protzel, P.,
A framework for solving functional equations with neural networks, 2001.
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Linchuk, L.V.,
On group analysis of functional differential equations, 2000.
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Linn, A.C.,
Some functional equations in the theory of relativity, 1919.
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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.
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Polyanin, A.D. and Zhurov, A.I.,
Solution of nonlinear functional and functional-differential equations by reduction to the
bilinear functional equation, EqWorld, 2004.
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Polyanin, A.D. and Zhurov, A.I.,
Solution of functional equations by argument elimination method, EqWorld, 2005.
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Polyanin, A.D. and Zhurov, A.I.,
A solution method for some classes of nonlinear integral, integro-functional, and integro-differential equations, EqWorld, 2007.
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Wolfram, D.A.,
A formula for the general solution of a constant-coefficient difference equation, 2000.
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Zerizer, T.,
Perturbation method for linear difference equations with small parameters, Advances in Difference Equations,
2006, Art. ID 19214, pp. 1-12.
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Guglielmi, N. and Hairer, E.,
Stiff delay equations, From Scholarpedia, 2007.
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Skip Thompson, S.,
Delay-differential equations, From Scholarpedia, 2007.
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![Aczel, J., Functional Equations: History, Applications and Theory, Kluwer, 2002](../../images/bk-aczel.jpg)
![Handbook of Mathematics for Engineers and Scientists](../../images/hb-hmes.jpg)
![Castillo, E. and Ruiz-Cobo, R., Functional Equations In Applied Sciences, Elsevier, 2005](../../images/bk-castillo.gif)
![Cheng, S. S., Partial Difference Equations, Chapman & Hall/CRC Press, Boca Raton, 2003](../../images/bk-cheng.jpg)
![Kelley, W. and Peterson, A., Difference Equations. An Introduction with Applications, Second Edition, Academic Press, 2000](../../images/bk-kelley.jpg)
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