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Nonlinear Differential Equations
1997Traditionally all the macroscopic phenomena observed in nature have been studied via solutions of differential equations which are described by smooth and continuous curves. This approach works very well for a class of problem like the planetary motion where the orbits are regular geometric objects (namely, ellipsi).
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Nonlinear Differential Equations
2016This chapter explicitly discusses nonlinear systems of ODE using linear approximation methods. Each system has equilibrium points associated with it and an related linear system of ODE governed by the linear dynamics determined by the Jacobian at the given equilibrium.
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Nonlinear Ordinary Differential Equations
2007Abstract This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book.
D W Jordan, P Smith
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Differential Equations: Linearity vs. Nonlinearity
SIAM Review, 1963Hale, J. K., LaSalle, J. P.
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Nonlinear Partial Differential Equations
2002In this chapter we turn our attention to the study of the dynamical properties of solutions of nonlinear partial differential equations. We are especially interested here in those nonlinear evolutionary equations which arise in the analysis of two broad classes of partial differential equations: parabolic evolutionary equations and hyperbolic ...
George R. Sell, Yuncheng You
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Nonlinear Differential Equations.
The American Mathematical Monthly, 1968L. E. Payne +2 more
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Nonlinear Differential Equations.
The American Mathematical Monthly, 1963W. T. Kyner, Raimond A. Struble
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