Last edited by Braramar
Saturday, May 16, 2020 | History

4 edition of Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift found in the catalog. # Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift

## by Georgii S. Litvinchuk

Written in

Subjects:
• Differential Equations,
• Mathematics,
• General,
• Science/Mathematics,
• Numerical solutions,
• Mathematics / Differential Equations,
• Mathematics / Mathematical Analysis,
• Medical : General,
• Functional Analysis,
• Mathematical Analysis,
• Boundary Value Problems,
• Integral Equations

• The Physical Object
FormatHardcover
Number of Pages378
ID Numbers
Open LibraryOL9410927M
ISBN 100792365496
ISBN 109780792365495

The last Litvinchuk’s monograph “Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shifts” was written at the University of Madeira and published by Kluwer in th On the occasion of 70 birthday of Professor G. S. Litvinchuk and in honor of his outstanding contributions to the theory of singular. Integral equations, boundary value problems and related problems; dedicated to Professor Chien-Ke Lu on the occasion of his 90th birthday; proceedings. Conference of Integral Equations, Boundary Value Problems and Related Problems (15th: Ningxia, China) Ed. by Xing Li.

Abstract. In this paper, by using a fixed point theorem, we investigate the existence of a positive solution to the singular fractional boundary value problem,, where,,, is Caputo fractional derivative, is singular at the value 0 of its arguments, and satisfies the Lipschitz condition.. by: solvable ones, then \solve" them and by using posed boundary conditions to get a solution on the half-lines. Finally, based on such obtained formulas on the half-lines, it should be concluded the form of the general solution for the boundary-value problem on the domain. Studying di erence equations of various types is an area of considerable.

Student Solutions Manual for Zill/Cullen's Differential Equations with Boundary-Value Problems, 7th book. Read 9 reviews from the world's largest communi 4/5. This thesis is devoted to the study of certain classes of boundary value problems involving fourth order di erential equations and inclusions. The main results pre-sented herein provide su cient conditions for the existence of solutions to such problems. Fourth order di erential equations occur .

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### Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift by Georgii S. Litvinchuk Download PDF EPUB FB2

In particular, such problems exhibit as boundary conditions relations among values of the unknown analytic functions which have to be evaluated at different points of the boundary. Singular integral equations with a shift are connected with such boundary value problems in a natural way.

Download Citation | Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift | Introduction. Preliminaries. Binomial boundary value problems with shift for a. from book Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift (pp) Chapter January with 15 Reads How we measure 'reads'.

Solvability theory of singular integral equations with the Operators of weigh-ted fractional linear Carleman shift and complex conjugation.

Generaliza-tion to the case of matrix coefficients Spectrum problems for singular integral Operators with Carleman shift Solvability theory of singular integral equations with a Carleman shift and complex conjugated boundary values in the degenerated and stable cases Solvability theory of general characteristic singular integral equations with a Carleman fractional linear shift on the unit circle -- 7.

Get this from a library. Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift. [Georgii S Litvinchuk] -- This book is devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift.

Litvinchuk G.S. () Boundary value problems with a Carleman shift and complex conjugation for functions analytic in a multiply connected domain. In: Solvability Theory of Boundary Value Problems and Singular Integral Equations with : Georgii S.

Litvinchuk. G.S. Litvinchuk, Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift, Mathematics and Its Applications, vol. 23, Kluwer Academic Publisher, Dordrecht,  N.M. Tuan, On a class of singular integral equations with rotation, Acta Math. Vietnam.

21 (2) () –Cited by: 9. 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 integral equations and boundary value Format: Hardcover.

By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a coﬃt vanishing on the unit circle.

All the possibilities about the index of the coﬃts in the. Carath´eodory conditions, the boundary value problems are called regular, while, if the Carath´eodory conditions are not fulﬁlled on the whole region, the problems are called singular. Two types of singularities are distinguished—time and space ones.

For singular boundary value problems, we introduce notions of a solution and of a w Cited by: Buy Solvability and Bifurcations of Nonlinear Equations. (Pitman Research Notes in Mathematics ) on FREE SHIPPING on qualified ordersCited by: INTEGRAL EQUATIONS AND BOUNDARY VALUE PROBLEMS.

0 item(s) INTEGRAL EQUATIONS AND BOUNDARY VALUE PROBLEMS, 9/e People Who Bought This Book Also Saw Analytical Solid Geometry: This paper discusses an integral equation procedure for the solution of boundary value problems. The method derives from work of Fichera and differs from the Cited by:   Boundary value problems for fractional differential equations have been discussed by many authors; see the textbooks [1, 2], papers [3–21] and the references -order two-point boundary value problems are useful for material mechanics because the problems usually characterize the deflection of an elastic by: 5.

boundary value problem u(n) =f t,u,u(n−1), () u∈B. () A decision concerning solvability for singular boundary value problems requires an exact deﬁnition of a solution to such problems. Here, we will work with the same deﬁnition of a solution both for. This classic text on integral equations by the late Professor F.

Tricomi, of the Mathematics Faculty of the University of Turin, Italy, presents an authoritative, well-written treatment of the subject at the graduate or advanced undergraduate level.

To render the book accessible to as wide an audience as possible, the author has kept the mathematical knowledge required on the part of the 5/5(2).

Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics.

This uncorrected soft cover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive Reviews: 1.

where \(2Cited by: 2. Gakhov F D On the present state of the boundary value theory of analytic functions and the theory of singular integral equations (Proc. of the Seminar on boundary value problems), no. 7 (Izd. Kazansk. In this paper, we discuss the fractional boundary value problem containing left and right fractional derivative operators and p-Laplacian.

By using critical point theory we obtain some results on the existence of weak solutions of such a fractional boundary value by: 6.O'REGAN D., Some existence principles and some general results for singular nonlinear two point boundary value problems, J.

math. Analysis Applic.(). TALIAFERRO S., A nonlinear singular boundary value problem, Nonlinear Analysis 3, (). Cited by: Abstract. We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form,, where.By using a fixed point theorem due to D.

O'Regan, the existence of solutions and positive solutions for the previous boundary value problems is by: 3.