Editor-in-Chief Robert E. O'Malley, Jr., University of Washington Editorial Board John Boyd, University of Michigan Leah Edelstein-Keshet, University of British Columbia William G. Faris, University of Arizona Nicholas J. Higham, ...
... Nathan Carter Inverse Problems : Activities for Undergraduates , Charles W. Groetsch Keeping it R.E.A.L . ... David Williamson , Marilou Mendel , Julie Tarr , and Deborah Yoklic Student Manual for Mathematics for Business Decisions ...
(t) is called the Green's function for the equation a(x)y" + b(x)y'+c(x)y= 0 Note that the Green's function depends solely on the homogeneous equation and it is 'folded with the inhomogeneous term f(x) to produce a particular integral.
This is a textbook on ordinary differential equations in their applied aspects and it caters to students with a physico-mathematical profile, as well as those in informatics and cybernetics. This...
The summation in (43.37) is now the same as the right side of L. (c) of (43.2). B. Integral Property of Laguerre Polynomials. Theorem 43.4. Let Losa), L1(c), L2(a), . . . , be Laguerre polynomial solutions of (43.1).
... y ) if f satisfies the tangent condition ( T ; ) or ( Td ) and a condition of Lipschitz type ( y1 - y2 , f ( x.yu ) – f ( .r . y2 ) ) < Lly1 - y12 . ... There exists an interval ( b.c ] such that p ( b ) = ( ) and p > 0 in ( b.c ] .
[76] M. Spivak, Calculus on manifolds, W. A. Benjamin, New York. [77] M. Stein, Loads and deformations of buckled rectangular plates, NASA Technical Report R-40 (1959). R. Stott, Darwin and the barnacle, Faber and Faber Limited, London, ...
Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the ...
Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of ...
This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.
This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple.
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations.
Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering.
Providing an even balance between theory, computer solution, and application, the text discusses the theorems and applications of the first-order initial value problem, including learning theory models, population growth models, epidemic ...
Ordinary Differential Equations: A Computational Approach
This text, now in its second edition, presents the basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology.
Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in ...
This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple.
This book presents a modern treatment of the material found in a first undergraduate course in ODEs.
The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations.