A Study Of The Boundary Value Problem For Nonlinear Second Order Ordinary Differential Equations
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Author | : Lloyd Jackson |
Publisher | : |
Total Pages | : 84 |
Release | : 1960 |
Genre | : Boundary value problems |
ISBN | : |
Download A Study of the Boundary Value Problem for Nonlinear Second Order Ordinary Differential Equations Book in PDF, Epub and Kindle
Author | : Lloyd Jackson |
Publisher | : |
Total Pages | : 80 |
Release | : 1960 |
Genre | : Boundary value problems |
ISBN | : |
Download A Study of the Boundary Value Problem for Nonlinear Second Order Ordinary Differential Equations Book in PDF, Epub and Kindle
Author | : Paul W. Eloe |
Publisher | : World Scientific |
Total Pages | : 249 |
Release | : 2016 |
Genre | : Mathematics |
ISBN | : 9814733482 |
Download Nonlinear Interpolation and Boundary Value Problems Book in PDF, Epub and Kindle
"This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"--
Author | : Milan Kubicek |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 0486463001 |
Download Numerical Solution of Nonlinear Boundary Value Problems with Applications Book in PDF, Epub and Kindle
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 | : F. Zanolin |
Publisher | : Springer |
Total Pages | : 214 |
Release | : 2014-05-04 |
Genre | : Technology & Engineering |
ISBN | : 3709126800 |
Download Non Linear Analysis and Boundary Value Problems for Ordinary Differential Equations Book in PDF, Epub and Kindle
The area covered by this volume represents a broad choice of some interesting research topics in the field of dynamical systems and applications of nonlinear analysis to ordinary and partial differential equations. The contributed papers, written by well known specialists, make this volume a useful tool both for the experts (who can find recent and new results) and for those who are interested in starting a research work in one of these topics (who can find some updated and carefully presented papers on the state of the art of the corresponding subject).
Author | : Ravi P Agarwal |
Publisher | : World Scientific |
Total Pages | : 321 |
Release | : 1986-07-01 |
Genre | : Mathematics |
ISBN | : 9814513636 |
Download Boundary Value Problems From Higher Order Differential Equations Book in PDF, Epub and Kindle
Contents: Some ExamplesLinear ProblemsGreen's FunctionMethod of Complementary FunctionsMethod of AdjointsMethod of ChasingSecond Order EquationsError Estimates in Polynomial InterpolationExistence and UniquenessPicard's and Approximate Picard's MethodQuasilinearization and Approximate QuasilinearizationBest Possible Results: Weight Function TechniqueBest Possible Results: Shooting MethodsMonotone Convergence and Further ExistenceUniqueness Implies ExistenceCompactness Condition and Generalized SolutionsUniqueness Implies UniquenessBoundary Value FunctionsTopological MethodsBest Possible Results: Control Theory MethodsMatching MethodsMaximal SolutionsMaximum PrincipleInfinite Interval ProblemsEquations with Deviating Arguments Readership: Graduate students, numerical analysts as well as researchers who are studying open problems. Keywords:Boundary Value Problems;Ordinary Differential Equations;Green's Function;Quasilinearization;Shooting Methods;Maximal Solutions;Infinite Interval Problems
Author | : Graef John R |
Publisher | : World Scientific |
Total Pages | : 344 |
Release | : 2018-09-18 |
Genre | : Mathematics |
ISBN | : 9813274042 |
Download Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems Book in PDF, Epub and Kindle
The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues.The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.While this Volume II complements , it can be used as a stand-alone work.
Author | : S. Carl |
Publisher | : CRC Press |
Total Pages | : 338 |
Release | : 2000-06-14 |
Genre | : Mathematics |
ISBN | : 9781584880684 |
Download Nonlinear Differential Equations in Ordered Spaces Book in PDF, Epub and Kindle
Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms. By means of these extremality results, the authors prove the existence of extremal solutions between appropriate upper and lower solutions of first and second order discontinuous implicit and explicit ordinary and functional differential equations. They then study the dependence of these extremal solutions on the data. The authors begin by developing an existence theory for an abstract operator equation in ordered spaces and offer new tools for dealing with different kinds of discontinuous implicit and explicit differential equation problems. They present a unified approach to the existence of extremal solutions of quasilinear elliptic and parabolic problems and extend the upper and lower solution method to elliptic and parabolic inclusion of hemivariation type using variational and nonvariational methods. Nonlinear Differential Equations in Ordered Spaces includes research that appears for the first time in book form and is designed as a source book for pure and applied mathematicians. Its self-contained presentation along with numerous worked examples and complete, detailed proofs also make it accessible to researchers in engineering as well as advanced students in these fields.
Author | : William Binkley Truex |
Publisher | : |
Total Pages | : 42 |
Release | : 1971 |
Genre | : |
ISBN | : |
Download The First and Second Boundary Value Problems for Second Order Nonlinear Ordinary Differential Equations Book in PDF, Epub and Kindle
Author | : Guangchang Dong |
Publisher | : American Mathematical Soc. |
Total Pages | : 272 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780821845547 |
Download Nonlinear Partial Differential Equations of Second Order Book in PDF, Epub and Kindle
Addresses a class of equations central to many areas of mathematics and its applications. This book addresses a general approach that consists of the following: choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution.