Cover of Analysis And Differential Equations (Second Edition) by Pons Odile, ISBN 9798886131031
ORDINARY DIFFERENTIAL EQUATIONS

Analysis And Differential Equations (Second Edition)

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Paperback ยท ISBN 9798886131031

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Key Specifications

ISBN 9798886131031
Publisher World Scientific
Language English
Page count 304

The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations. The main changes of this second edition are: the addition of theoretical sections proving the existence and the unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally Lipschitz functions of the derivatives, as well as the approximations of nonlinear parabolic, elliptic, and hyperbolic equations with locally differentiable operators which allow to prove the existence of their solutions; furthermore, the behavior of the solutions of differential equations under small perturbations of the initial condition or of the differential operators is studied.