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020 _a9781944660840
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB331 Q3;R3
_qCSL
100 _a Hsu, Sze-Bi
_eauthor.
_9814494
245 _aOrdinary Differential Equations With Applications
250 _a3rd ed.
260 _aSingapore :
_bWorld Scientific,
_c2023.
300 _axv,361p.
_b: ill.
_c; 23 cm.
490 _aSeries on Applied Mathematics
_v23 v.
500 _aIncludes appendix, bibliography and index.
520 _aWritten in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular perturbations. It is also a valuable resource for researchers.This volume presents an abundance of examples in physical and biological sciences, and engineering to illustrate the applications of the theorems in the text. Readers are introduced to some important theorems in Nonlinear Analysis, for example, Brouwer fixed point theorem and fundamental theorem of algebras. A chapter on Monotone Dynamical Systems takes care of the new developments in Ordinary Differential Equations and Dynamical Systems.In this third edition, an introduction to Hamiltonian Systems is included to enhance and complete its coverage on Ordinary Differential Equations with applications in Mathematical Biology and Classical Mechanics.
650 _aDifferential equations.
650 _a Perturbation methods.
_9814495
650 _a Lyapunov functions.
_9814496
650 _aHamiltonian systems .
_9714545
700 _aChen, Kuo-Chang
_eco-author.
_9814497
942 _2CC
_cTEXL
_e3rd ed.
_hB331 Q3;R3
_n0
999 _c1432897
_d1432897