A01=Odile Pons
Author_Odile Pons
Bernoulli
Birth and Death Equations
Category=PBK
Elliptic and Hyperbolic Equations
Epidemics
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Eulerian Functions
Existence of Solutions
Fourier and Poisson Equations
Heat Conduction and Elasticity Equations
Integral Calculus
Lotka-Volterra
Nonlinear Parabolic
Orthonormal Polynomials
Potential
Special Functions
Sturm-Liouville Equations
Unicity of Solutions
Product details
- ISBN 9789811268564
- Publication Date: 18 Jan 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
