Download or read book Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations written by V. Lakshmikantham and published by Routledge. This book was released on 2017-09-29 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces.

Download or read book Monotone Iterative Techniques for Nonlinear Differential Equations written by G. S. Ladde and published by Pitman Publishing. This book was released on 1985 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations written by V. Lakshmikantham and published by Routledge. This book was released on 2017-09-29 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Providing the theoretical framework to model phenomena with discontinuous changes, this unique reference presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations and applies this method to derive suitable fixed point theorems in ordered abstract spaces.

Download or read book Generalized Monotone Iterative Techniques for Fractional Differential Equations with Boundary Conditions written by Juan Diego Ramírez-Valdez and published by . This book was released on 2012 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Iterative Methods for Linear and Nonlinear Equations written by C. T. Kelley and published by SIAM. This book was released on 1995-01-01 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Download or read book Iterative Methods for Solving Nonlinear Equations and Systems written by Juan R. Torregrosa and published by MDPI. This book was released on 2019-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Download or read book Monotone Iterative Theory in Nonlinear Differential Equations written by 张丽红 and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations written by V. Lakshmikantham and published by CRC Press. This book was released on 2019-09-11 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.

Download or read book Integral Methods in Science and Engineering written by Mario Paul Ahues and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Good reference text; clusters well with other Birkhauser integral equations & integral methods books (Estrada and Kanwal, Kythe/Puri, Constanda, et al). * Includes many practical applications/techniques for applied mathematicians, physicists, engineers, grad students. * The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. * Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. * The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.

Download or read book Partial Differential Equations And Systems Not Solvable With Respect To The Highest Order Derivative written by Gennadii V. Demidenko and published by CRC Press. This book was released on 2003-04-25 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces a classification of equations and systems not solved with respect to the higher-order derivative, and studies boundary-value problems for these classes of equations. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid.

Download or read book KKM Theory and Applications in Nonlinear Analysis written by George Xian-Zhi Yuan and published by CRC Press. This book was released on 1999-02-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.

Download or read book Proceedings of Dynamic Systems and Applications written by G. S. Ladde and published by Dynamic Pub.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: PROCEEDINGS OF DYNAMIC SYSTEMS & APPLICATIONS, VOLUME 1, contains selected articles presented in the First International Conference on DYNAMIC SYSTEMS & APPLICATIONS, Atlanta, Georgia, USA, May 1993. In this conference over one hundred & twenty-five participants from fifteen countries presented their research reports on all aspects of differential equation, integral equations, integro-differential equations, discrete analog of these equations, & applications. This proceeding contains over 55 original research reports of the participants. Some subtopics illustrated in the proceeding are: cardiac calcium oscillations, discontinuous differential equations, dynamic simulators, elastic beam control, inverse scattering, Lyapunov methods, monotone iterative techniques, nonlinear differential equations, optimal control, predator-prey models, quenching phenomena, stability analysis, symbolic dynamic methods, underwater acoustics, Wiener measures, etc. These proceedings will be a source for researchers in mathematics, engineering & sciences to refer recent results, & an up-to-date reference for researchers in DYNAMIC SYSTEMS & APPLICATIONS. Hardbound ISBN 0-9640398-4-2, US $100.00 (Plus S/H); Softcover ISBN 0-9640398-5-0, US $75.00 (plus S/H). For order inquiries write or FAX to the publisher: Dynamic Publishers, Inc., P.O. Box 48654, Atlanta, GA 30362-0654, USA. FAX: (404) 451-3616.

Download or read book Theory Of Difference Equations Numerical Methods And Applications written by V. Lakshmikantham and published by CRC Press. This book was released on 2002-06-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."

Download or read book Functional Analytic Methods for Partial Differential Equations written by Hiroki Tanabe and published by Routledge. This book was released on 2017-11-22 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform.

Download or read book Impulsive Differential Inclusions written by John R. Graef and published by Walter de Gruyter. This book was released on 2013-07-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.

Download or read book Oscillation Theory for Functional Differential Equations written by Lynn Erbe and published by Routledge. This book was released on 2017-10-02 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. The book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations.

Download or read book Degenerate Differential Equations in Banach Spaces written by Angelo Favini and published by CRC Press. This book was released on 1998-09-10 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the analyzability of the semigroup generated by some degenerate parabolic operators in spaces of continuous functions.