000			01725nam a2200253 4500
005			20250620141639.0
008			250620b |||||||| |||| 00| 0 eng d
020			_a9798886131031
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB33 Q5;R5 _qCSL
100			_aPons, Odile _eauthor
245			_aAnalysis and differential equations
250			_a2nd ed.
260			_aSingapore : _bWorld scientific, _c2025.
300			_axi, 292p. _b: ill. _c; 23 cm.
500			_aIncludes bibliography and index
520			_a 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.
650			_aIntegral calculus.
650			_aDifferential equations.
650			_aSpecial functions.
650			_aPartial differential equations. _9426149
942			_2CC _cTEXL _e2nd ed. _hB33 Q5;R5 _n0
999			_c1432081 _d1432081