Exact solutions to nonlinear delay differential equations of hyperbolic type
| Autor: | Andrei V Vyazmin, Vsevolod G. Sorokin |
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| Rok vydání: | 2017 |
| Předmět: |
History
Mathematical analysis 02 engineering and technology Delay differential equation 01 natural sciences 010305 fluids & plasmas Computer Science Applications Education Euler equations Nonlinear system symbols.namesake Multigrid method 020401 chemical engineering Simultaneous equations 0103 physical sciences symbols 0204 chemical engineering Differential algebraic equation Hyperbolic partial differential equation Mathematics Numerical partial differential equations |
| Zdroj: | Journal of Physics: Conference Series. 788:012037 |
| ISSN: | 1742-6596 1742-6588 |
| Popis: | We consider nonlinear delay differential equations of hyperbolic type, including equations with varying transfer coefficients and varying delays. The equations contain one or two arbitrary functions of a single argument. We present new classes of exact generalized and functional separable solutions. All the solutions involve free parameters and can be suitable for solving certain model problems as well as testing numerical and approximate analytical methods for similar and more complex nonlinear differential-difference equations. |
| Databáze: | OpenAIRE |
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