2 edition of Positive Solutions of Differential, Difference and Integral Equations found in the catalog.
In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors" recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.
|Statement||by Ravi P. Agarwal, Donal O"Regan, Patricia J. Y. Wong|
|Contributions||O"Regan, Donal, Wong, Patricia J. Y.|
|The Physical Object|
|Format||[electronic resource] /|
|Pagination||1 online resource (xi, 417 p.)|
|Number of Pages||417|
|ISBN 10||9048151538, 9401591717|
|ISBN 10||9789048151530, 9789401591713|
Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi5/5(1). In recent book there are considered some linear classes of advanced differential equations in Chapter 5. Sufficient conditions of existence of positive solutions are derived. Inequality [6, formula ()] contains, in particular, inequality and inequality [6, formula ()] contains, in particular, by: 5.
Ordinary Differential Equations. and Dynamical Systems. Gerald Teschl. This is a preliminary version of the book Ordinary Differential Equations and Dynamical Systems. published by the American Mathematical Society (AMS). This preliminary version is made available with. Fractional differential equations have been of great interest recently. It is caused by the both intensive development of the theory of fractional calculus itself and applications, see [1–6].Recently, there are a large number of papers dealing with the existence of solutions of nonlinear fractional differential equations by the use of techniques of nonlinear analysis (fixed point theorems Cited by:
I'm looking for a good reference on integral equations (i.e., an equation in which an unknown function appears under an integral sign such as the Fredholm equation). I would like something accessible but covers approaches to showing existence. Any help would be much appreciated. Differential and Integral Calculus by N. Piskunov This text is designed as a course of mathematics for higher technical schools. It contains many worked examples that illustrate the theoretical material and serve as models for solving problems.
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Positive Solutions of Differential, Difference and Integral Equations th Edition by R.P. Agarwal (Author), Donal O'Regan (Author), Patricia J.Y. Wong (Author) & 0 moreCited by: Positive Solutions of Differential, Difference and Integral Equations. Authors: Agarwal, R.P., O'Regan, Donal, Wong, Patricia J.Y.
Free Preview. In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject.
Get this from a library. Positive solutions of differential, difference, and integral equations. [Ravi P Agarwal; Donal O'Regan; Patricia J Y Wong].
Get this from a library. Positive Solutions of Differential, Difference and Integral Equations. [Ravi P Agarwal; Donal O'Regan; Patricia J Y Wong] -- In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense.
In the last few years this discipline has grown dramatically. This. Abstract. Chapter 5 is focused on the existence, multiplicity, and nonexistence of positive solutions for some classes of systems of nonlinear Riemann–Liouville fractional differential equations with parameters or without parameters, subject to coupled Riemann–Stieltjes integral boundary conditions, and for which the nonlinearities are nonsingular or singular functions.
The question of the existence of positive solutions (i.e., solutions that are positive in the interval (0, 1]) for fractional q-difference boundary value problems is in its infancy, being available in the literature in only one paper on the subject considering Dirichlet type boundary by: The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from Julyin honor of Professor Ravi P.
Agarwal. The objective of the gathering was to bring together. Purchase Boundary Value Problems for Systems of Differential, Difference and Fractional Equations - 1st Edition. Print Book & E-Book. ISBN In this paper, we study a coupled system of fractional boundary value problems subject to integral boundary conditions.
By applying a recent fixed point theorem in ordered Banach spaces, we investigate the local existence and uniqueness of positive solutions for the coupled system. We show that the unique positive solution can be found in a product set, and that it can be approximated by Cited by: 5.
In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations.
In this paper we investigate the existence of positive solutions of second order differential equations with integral boundary conditions, and the nonlinearity is a continuous function, depending. These equations include differential, differential-delay, integral, integro-differential, difference and other traditional equations.
Conditions that provide the existence of positive solutions Author: Michael Gil. Ravi P. Agarwal (born J ) is an Indian mathematician, Ph.D. sciences, professor, Professor & Chairman, Department of Mathematics Texas A&M University-Kingsville, Kingsville, U.S.A. Agarwal is the author of over scientific papers as well as 30 monographs.
Monographs and books. R.P. Agarwal, Boundary Value Problems for Higher Order Differential Equations, World Scientific Alma mater: Indian Institute of Technology. Chegg's differential equations experts can provide answers and solutions to virtually any differential equations problem, often in as little as 2 hours.
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IJDSDE is a international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science.
Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and. used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ).
Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven.
In the literature one can find some results on existence of positive solutions of advanced equations. For example, in accordance with [ 2, page 31] and [ 3, page 21], the first-order advanced type differential equation where, has a positive solution in the case when if and only if there exists a continuous function such that where and is Cited by: 5.
Positive Solutions of Differential, Difference and Integral Equations 英文书摘要 In analysing nonlinear phenomena many mathematical models give rise to problems for. This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions.
The associated Green's function for the fourth-order boundary value problems is first given, and the arguments are based on Krasnoselskii's fixed point theorem for operators on a by: 3. I’ll try to answer this from an oceanographic perspective. A differential equation in Eulerian or Lagrangian frame often represents the instantaneous flow, whereas an integral equation represents the flow of a system as a whole or the flow associa.In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a computer model.A special case is ordinary differential equations (ODEs), which deal with functions of a single.Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions.