Analysis and Differential Equations (Second Edition) (Hardcover) (ISBN-13: 9789811268564)

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.

Author: Odile Pons
ISBN-10: 9811268568
ISBN-13: 9789811268564
Publisher: World Scientific Publishing Company
Language: English
Published: 01/18/2023
Pages: 304
Format: Hardcover
Weight: 1.27lbs
Size: 9.00h x 6.00w x 0.75d