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Sunday, July 26, 2020 | History

2 edition of Nonlinear boundary value problems and singular integral equations. found in the catalog.

Nonlinear boundary value problems and singular integral equations.

E. Wegert

Nonlinear boundary value problems and singular integral equations.

by E. Wegert

  • 190 Want to read
  • 23 Currently reading

Published by Akademie Verlag .
Written in English


Edition Notes

SeriesMathematical research series -- 65
The Physical Object
Pagination24cm.200.
Number of Pages200
ID Numbers
Open LibraryOL21813916M
ISBN 103055014189

The so-called boundary integral equation relates the values of the electrostatic potential in some domain to its values at that domain's boundary. In this problem we will derive this important statement which leads to the "Boundary Element Method", a discretized version with numerical applications throughout science and engineering.. Problem Statement.   DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9th Edition, strikes a balance between the analytical, qualitative, and quantitative approaches to the study of Differential Equations. This proven text speaks to students of varied majors through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, and definitions.

Gakhov, F. D., Boundary Value Problems, Dover Publ., New York, E. G., Singular Integral Equations: Linear and Non-Linear Theory and Its Applications in Science and Engineering, Springer Verlag, , Singular Integral Equations: Boundary Problems of Function Theory and Their Applications to Mathematical Physics.   Green’s Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering.

Chapter 10 Systems of Nonlinear First-Order Differential Equations; Chapter 11 Fourier Series; Chapter 12 Boundary-Value Problems in Rectangular Coordinates; Chapter 13 Boundary-Value Problems in Other Coordinate Systems; Chapter 14 Integral Transforms; Chapter 15 Numerical Solutions of Partial Differential Equations; Chapter APP Appendices. Wang Y., Liu L., Wu Y., Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity, Nonlinear Anal., , 74, [13] Zuo M., Hao X., Liu L., Cui Y., Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary.


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Nonlinear boundary value problems and singular integral equations by E. Wegert Download PDF EPUB FB2

Solutions of Nonlinear Integral Equations and Their Application to Singular Perturbation Problems which have the same solution as a given boundary value problem involving an ordinary differential equation, is the solution of Volterra integral singular perturbation problems with solutions have a single boundary layer.

Buy Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics Non-Linear Elastic Deformations (Dover Civil and Mechanical Engineering) Eventhough this text dates from it is difficult to find a more complete and accurate discussion on the boundary value problems raised up by the 5/5(6).

About this Item: Independently Published, United States, Paperback. Condition: New. Language: English. Brand new Book. In this paper we are concerned with high-accuracy quadrature method solutions of nonlinear Fredholm integral equations of the form y(x) = r(x) ] definite integral of g(x, t)F(t, y(t))dt with limits between 0 and 1,0 less than or equal to x les than or equal to 1, where.

This article investigates the existence of solutions to first-order nonlinear boundary-value problems (BVPs) involving systems of ordinary differential equations and two-point boundary. Although many papers investigated two-point and multi-point boundary value problems with sign-changing nonlinear terms, for example, [15–20], results for boundary value problems with integral boundary conditions when the nonlinear term is sign-changing are rarely seen except for a few special cases [7, 12, 13].Cited by: 7.

This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order with integral boundary conditions.

Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem. An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an arc. Singularities and Constructive Methods for Their Treatment, () Bemerkungen zur numerischen Behandlung einer Klasse von schwach singulären Integralgleichungen 1.

In this work, we shall study the existence of nontrivial solutions for a system of second-order discrete boundary value problems.

Under some conditions concerning the eigenvalues of relevant linear operator, we use the topological degree theory to obtain our main results. the integral equation rather than differential equations is that all of the conditions specifying the initial value problems or boundary value problems for a differential equation can often be condensed into a single integral equation.

In the case of partial differential equations, the dimension of the problem is reduced in this process. 2D free boundary value problems Hele-Shaw cell Hele-Shaw flow Polubarinova-Galin equation abstract Cauchy-Kovalevsky problem scale of Banach spaces singular integral operators.

Mathematics Subject Classification (). 76D27, 46E15, 35A10, 47G10, 30E - Buy Integral Equations and Boundary Value Problems book online at best prices in India on Read Integral Equations and Boundary Value Problems book reviews & author details and more at Free delivery on qualified s: The work improves and generalizes the main results of [G.

Han, Y. Wu, Nontrivial solutions of singular two-point boundary value problems with sign-changing nonlinear terms, J. Math. Anal. Appl. Abstract. In this article, we study the existence of iterative positive solutions for a class of singular nonlinear fractional differential equations with Riemann-Stieltjes integral boundary conditions, where the nonlinear term may be singular both for time and space variables.

Z. Bai, H. LuPositive solutions for boundary value problem of nonlinear fractional differential equation Journal of Mathematical Analysis and Applications, (), pp. Meanwhile, the qualitative theory of integral differential equations creates an branch of nonlinear analysis. Boundary value problems for various first-order integral differential equations have been studied by several researchers, and there are some results on the existence of solutions and extremal solutions, the controllability problem.

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.

In this paper, we study a integral boundary value problem of fractional differential equation with the nonlinearity depending on fractional derivatives of lower order on an infinite interval. We es. Multiple Positive Solutions of the Singular Boundary Value Problem for Second-Order Impulsive Differential Equations on the Half-Line.

This paper uses a fixed point theorem in cones to investigate the multiple positive solutions of a boundary value problem for second-order impulsive singular differential equations on the half-line.

Buy Nonlinear Boundary Value Problems for Holomorphic Functions and Singular Integral Equations (Mathematical Research) on FREE SHIPPING on qualified orders Nonlinear Boundary Value Problems for Holomorphic Functions and Singular Integral Equations (Mathematical Research): Wegert, Elias: : BooksCited by: Description; Chapters; Supplementary; In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of.

Nonlinear boundary value problems for holomorphic functions and singular integral equations. Berlin: Akademie Verlag, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Elias Wegert.Differential Equations with Boundary-Value Problems por Dennis G.

Zill,disponible en Book Depository con envío gratis.Singular Phenomena in Nonlinear Elliptic Problems: From Blow-Up Boundary Solutions to Equations with Singular Nonlinearities.

Stationary Partial Differential Equations, () MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SINGULAR AND CRITICAL ELLIPTIC PROBLEM IN ℝ 2.