000			02030nam a2200205 a 4500
001			ASIN0824723376
005			20190522122156.0
008			130419s2007 xxu eng d
020			_a0824723376 (hardcover) _c$104.95
020			_a9780824723378 (hardcover)
100	1		_aCronin, Jane.
245	1	0	_aOrdinary differential equations : _bintroduction and qualitative theory, third edition / _cJane Cronin.
250			_a3rd ed.
260			_a[S.l.] : _bCRC Press, _c2007.
300			_a408 p. ; _c24 cm.
490	1		_aChapman & hall/crc pure and applied mathematics.
520			_aDesigned for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra, the text is appropriate for advanced undergraduate and graduate students in mathematics, engineering, physics, chemistry, or biology. This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations, which is a classical subject that has become more prominent in recent biological applications. By using the Poincar� method, it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincar� method.
830		0	_aChapman & hall/crc pure and applied mathematics.
856	4	0	_3Amazon.com _uhttp://www.amazon.com/exec/obidos/ASIN/0824723376/chopaconline-20
999			_c4375 _d4375