An Introduction to Nonlinear Boundary Value Problems [by] Stephen R. Bernfeld [and] V. Lakshmikantham
Author | : Stephen R. Bernfeld |
Publisher | : |
Total Pages | : 386 |
Release | : 1974 |
Genre | : Boundary value problems |
ISBN | : |
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Author | : Stephen R. Bernfeld |
Publisher | : |
Total Pages | : 386 |
Release | : 1974 |
Genre | : Boundary value problems |
ISBN | : |
Author | : Lakshmikantham |
Publisher | : Academic Press |
Total Pages | : 399 |
Release | : 1974-05-31 |
Genre | : Computers |
ISBN | : 0080956181 |
A book on an advanced level that exposes the reader to the fascinating field of differential equations and provides a ready access to an up-to-date state of this art is of immense value. This book presents a variety of techniques that are employed in the theory of nonlinear boundary value problems. For example, the following are discussed: methods that involve differential inequalities; shooting and angular function techniques; functional analytic approaches; topological methods.
Author | : Stephen R. Bernfeld |
Publisher | : |
Total Pages | : 408 |
Release | : 1974 |
Genre | : Boundary value problems |
ISBN | : 9780120931507 |
An introduction to nonlinear boundary value problems.
Author | : V. Lakshmikantham |
Publisher | : Elsevier |
Total Pages | : 1062 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483272052 |
Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.
Author | : C. Rogers |
Publisher | : Academic Press |
Total Pages | : 433 |
Release | : 1989-11-14 |
Genre | : Computers |
ISBN | : 0080958702 |
Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.
Author | : Milan Kubicek |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 0486463001 |
A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
Author | : Walter Gautschi |
Publisher | : Springer Science & Business Media |
Total Pages | : 611 |
Release | : 2011-12-06 |
Genre | : Mathematics |
ISBN | : 0817682597 |
Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.
Author | : Bailey |
Publisher | : Academic Press |
Total Pages | : 190 |
Release | : 1968 |
Genre | : Computers |
ISBN | : 0080955525 |
Nonlinear Two Point Boundary Value Problems