3 edition of **Nonlinear equations in abstract spaces** found in the catalog.

- 63 Want to read
- 26 Currently reading

Published
**1978** by Academic Press in New York .

Written in English

- Differential equations, Nonlinear -- Numerical solutions -- Congresses.,
- Volterra equations -- Numerical solutions -- Congresses.,
- Banach spaces -- Congresses.

**Edition Notes**

Statement | edited by V. Lakshmikantham. |

Contributions | Lakshmikantham, V., 1926- |

Classifications | |
---|---|

LC Classifications | QA371 .I553 1977 |

The Physical Object | |

Pagination | ix, 483 p. : |

Number of Pages | 483 |

ID Numbers | |

Open Library | OL4721323M |

ISBN 10 | 0124341608 |

LC Control Number | 78008412 |

LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES ARP´ AD B´ ENYI´ and KASSO A. OKOUDJOU Abstract By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp,1 0,s. 1. Introduction and statement of results. In mathematics, an abstract differential equation is a differential equation in which the unknown function and its derivatives take values in some generic abstract space (a Hilbert space, a Banach space, etc.). Equations of this kind arise e.g. in the study of partial differential equations: if to one of the variables is given a privileged position (e.g. time, in heat or wave equations) and. Abstract. A Fortran subroutine is described and listed for solving a system of non-linear algebraic equations. The method used to obtain the solution to the equations is a compromise between the Newton-Raphson algorithm and the method of steepest descents applied to minimize the function noted, for the aim is to combine a fast rate of convergence with steady progress.

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This chapter discusses nonlinear equations in abstract spaces. Although basic laws generally lead to nonlinear differential and integral equations in many areas, linear approximations are usually employed for mathematical tractability and the use of superposition.

Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab stract spaces is a fast growing field with important.

Nonlinear Equations in Abstract Spaces Paperback – Ap by V. Lakshmikantham (Editor) See all 3 formats and editions Hide other formats and editions.

Price New from Used from Kindle "Please retry" $ — Format: Paperback. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces.

It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Nonlinear Differential Equations in Abstract Spaces V. Lakshmikantham, S.

Leela Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed.

There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models.

Some of them can be formulated as nonlinear functional evolutions in infinite-dimensional abstract spaces. Since Webb (). Polynomial Operator Equations in Abstract Spaces and Applications - an outgrowth of fifteen years of the author's research work - presents new and traditional results about polynomial equations as well as analyzes current iterative methods for their numerical solution in various general space settings.

General Methods for Solving Nonlinear. Journals & Books; Register Sign in. Sign in Register. Journals & Books; Mathematics in Science and Engineering. Latest volume All volumes. Search in this book series. Differential Equations in Abstract Spaces. Edited by G.E. Ladas, V. Lakshmikantham. Vol Pages iii-xi, () Nonlinear Differential Equations.

The presen t volume contains the book-length text of a paper entitled "Nonlinear operators and nonlinear equations of evolution in Banach spaces" composed in its entiret y during the calendar year to be publishe d as par t of the Proceedings of the Symposium on Nonlinear Functional Analysis held in connection with the.

Introduction to Non-Linear Algebra n and v ITEP, Moscow, Russia ABSTRACT Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linear algebra to the case of non-linear equations and maps.

This powerful science is based on. Additional Physical Format: Online version: Lakshmikantham, V., Nonlinear differential equations in abstract spaces. Oxford ; New York: Pergamon Press, International Symposium on Nonlinear Equations in Abstract Spaces (2nd: University of Texas at Arlington).

Nonlinear equations in abstract spaces. New York: Academic Press, (OCoLC) Material Type: Conference publication: Document Type: Book: All Authors / Contributors: V Lakshmikantham. Nonlinear Integral Equations in Abstract Spaces by Dajun Guo,available at Book Depository with free delivery worldwide.

Nonlinear Differential Equations in Ordered Spaces. Nonlinear Differential Equations in Ordered Spaces book. Nonlinear Differential Equations in Ordered Spaces 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 Cited by: (ebook) Nonlinear Equations in Abstract Spaces () from Dymocks online store.

This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides.

Chapter 1 - Introduction to Part I Pages Abstract This chapter begins with a description of coupled infinite systems of partial differential equations arising from a tapering cable representing a single branch of a dendritic tree to form dendritic trees, networks of dendritic trees, systems of.

Electronic books Conference papers and proceedings Congresses Congrès: Additional Physical Format: Print version: International Symposium on Nonlinear Equations in Abstract Spaces (2nd: University of Texas at Arlington).

Nonlinear equations in abstract spaces. New York: Academic Press, (DLC) (OCoLC) Material Type. Chapter 2, which is a main portion of this book, deals with nonlin ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of.

NONLINEAR EQUATIONS IN A B S T R A C T SPACES MODEL EQUATIONS FOR NONLINEAR DISPERSIVE SYSTEMS R. Showalter The UnlvQAslty o i Texas at Austtn Numerous model equations and systems have been proposed to approximate long low Cited by: This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone : Behzad Djafari-Rouhani, Hadi Khatibzadeh.

Book chapterFull text access. Chapter 3 - Nonhomogeneous Equation Pages Abstract In this chapter we study the nonhomogeneous Hill's equation by means of the related Green's function.

First, in Sections and, we give some general definitions and the basic properties of the Green's function. NONLINEAR INTEGRAL EQUATIONS IN BANACH SPACES 53 Introduction 53 Equations of Fredholm Type 54 Equations of Volterra Type 91 Equations of Hammerstein Type An Equation Modeling Infectious Disease Notes and Comments NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES Introduction First.

Cosine families and abstract nonlinear second order differential equations. Lakshmikantham,Differential Equations in Abstract Spaces, Academic Press (New York, Webb, G.F.

Cosine families and abstract nonlinear second order differential equations. Acta Mathematica Academiae Scientiarum Hungari 75–96 ( Cited by: The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book.

It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems.

Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations. It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations.

Nonlinear evolution equations in Banach spaces 50 By Tosio KATO Singularities of solutions of nonlinear equations 68 By JAMES SERRÍN Some nonlinear evolution equations 89 By J. LIONS and W. STRAUSS Results for a quasi-linear hyperbolic equation 1 90 By R. MACCAMY and V. MIZEL II. FINITE ELASTICITY, COMPRESSIBLE FLUIDS 91File Size: 6MB.

Abstract. This chapter introduces a global optimization approach for finding solutions of nonlinear systems of functional equations using Fuzzy ASA. The original problem is transformed into a global optimization one by synthesizing objective functions whose Cited by: 1. Get this from a library. Nonlinear equations in abstract spaces: proceedings of an International Symposium on Nonlinear Equations in Abstract Spaces, held at the University of Texas at Arlington, Arlington, Texas, June[Vangipuram Lakshmikantham; International Symposium on Nonlinear Equations in Abstract Spaces.;].

The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study severalBrand: Birkhäuser Basel.

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general.

This is a book about ordinary differential equations (ODES) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. A unique combination of both deep abstract theory and the analysis of concrete equations of natural science.

principle in order to solve integral equations in modular function spaces taking into account the 2-type condition. Hajji and Hanebaly [6, 7] use the argument in [15].

The theory of modular function spaces has gained attention with the publication of the book by Diening et al. [4] on variable exponent spaces. The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7, ordinary.

Abstract. In this paper, we discuss existence of solution for boundary value problem of impulsive differential equations in Banach spaces. The arguments are based upon the fixed point theorem of strict set contraction : Dehong Ji, Weigao Ge.

The nonlinear fractional differential equation with nonlocal fractional integro-differential boundary conditions in Banach spaces is studied, an existence result is obtained by using the method.

The theory of nonlinear integral equations in ab stract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book. Abstract. The authors discuss multiple solutions for the nth-order singular boundary value problems of nonlinear integrodifferential equations in Banach spaces by means of the fixed point theorem of cone expansion and example for infinite system of scalar third-order singular nonlinear integrodifferential equations is : Yanlai Chen, Tingqiu Cao, Baoxia Qin.

A pocket guide to nonlinear diﬀerential equations in Musielak–Orlicz spaces Iwona Chlebicka (Skrzypczak)∗† †Institute of Mathematics, Polish Academy of Sciences, ul.

´Sniadeckich 8, Warsaw, Poland Abstract The Musielak–Orlicz setting uniﬁes variable exponent, Orlicz, weighted Sobolev, and double-phase spaces. This book introduces the full range of activity in the rapidly growing field of nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, this book includes a thorough treatment of both differential equation models and iterated map models (including a detailed derivation of the famous Feigenbaum numbers).

Dajun Guo, V. Lakshmikantham, Xinzhi Liu, Nonlinear Integral Equations in Abstract Spaces, Kluwer Academic, Dordrecht, On discontinuous implicit and explicit abstract impulsive boundary.

The theory of nonlinear integro-differential equations in abstract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science [1].Author: Dajun Guo.Gaston M. N’Guérékata. type solutions to a class of nonlinear difference equation.

almost automorphic solutions of differential and integral equations in abstract spaces.the modern theory of PDEs. I show how the abstract results from FA can be applied to solve PDEs. The Sobolev spaces occur in a wide range of questions, in both pure and applied mathematics.

They appear in linear and nonlinear PDEs that arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, and Size: 2MB.