00000cam a22000003i 4500 UP-1685594773861876204 Buklod 20120217130045.0 g||| | || || ta 180317s2008 nyua rb |||1 u|eng d 9780387712758 (pbk.) (iLib)UPBAG-00009055664 BC-62031 Php2,798.00 DLC BAG rda eng QA 372 A32 2008 Agarwal, Ravi P. author. An introduction to ordinary differential equations Ravi P. Agarwal, Donal O'Regan. New York, NY Springer Science + Business Media LLC [2008] xii, 321 pages illustrations, diagrams 24 cm text rdacontent unmediated rdamedia volume rdacarrier Universitext Includes bibliographical references (pages [315]-317) and index. Introduction -- Historical notes -- Exact equations -- Elementary first-order equations -- First-order linear equations -- Second-order linear equations -- Preliminaries to existence and uniqueness of solutions -- Picard's method of successive approximations -- Existence theorems -- Uniqueness theorems -- Differential inequalities -- Continuous dependence on initial conditions -- Preliminary results from algebra and analysis -- Existence and uniqueness of solutions of systems -- General properties of linear systems -- Fundamental matrix solution -- System with constant coefficients -- Periodic linear systems -- Asymptotic behavior of solutions of linear systems -- Preliminaries to stability of solutions -- Stability of Quasi-linear systems -- Two-dimensional autonomous systems -- Limit cycles and periodic solutions -- Lyapunov's direct method for autonomous systems -- Higher-order exact and adjoint equations -- Oscillatory equations -- Linear boundary value problems -- Green's functions -- Degenerate Linear boundary value problems -- Maximum principles -- Sturm-Liouville problems -- Eigenfunction expansions -- Nonlinear boundary value problems -- Topics for further studies. This textbook provides a rigorous & lucid introduction to the theory of ordinary differential equations, which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines. Differential equations. O'Regan, Donal author. FO UPBAG UPBAG-MAIN QA 372 A32 2008 Book