عنوان

Numerical-analytic methods in the theory of boundary-value problems /

(Number (ISBN

9789810236762

(Number (ISBN

981023676X

Number

b511259

Title Proper

Numerical-analytic methods in the theory of boundary-value problems /

General Material Designation

[Book]

First Statement of Responsibility

M. Ronto, A.M. Samoĭlenko

Place of Publication, Distribution, etc.

River Edge, NJ :

Name of Publisher, Distributor, etc.

World Scientific,

Date of Publication, Distribution, etc.

[2000]

Date of Publication, Distribution, etc.

©2000

Specific Material Designation and Extent of Item

ix, 455 pages :

Other Physical Details

illustrations ;

Dimensions

23 cm

Text of Note

Includes bibliographical references (pages 415-455)

Text of Note

Ch. 1. Numerical-Analytic Method of Successive Approximations for Two-Point Boundary-Value Problems -- 1. Abstract Scheme of the Method -- 2. Choice of the Form of Successive Approximations and Their Uniform Convergence -- 3. Sufficient Conditions for the Existence of Solutions -- 4. Necessary Conditions for the Solvability of the Boundary-Value Problem -- 5. Error of Calculation of the Initial Value of a Solution -- 6. Special Types of Successive Approximations and Estimates -- 7. Numerical-Analytic Method in the Case of Nonlinear Two-Point Boundary Conditions -- 8. Boundary-Value Problems with Small Parameter -- Ch. 2. Modification of the Numerical-Analytic Method for Two-Point Boundary-Value Problems -- 9. Periodic Boundary-Value Problem -- 10. Theorems on the Properties of Determining Functions of a Periodic Boundary-Value Problem -- 11. Solvability of the Approximate Determining Equation and the Error of the Initial Value of a Periodic Solution -- 12. Modification of the Method for Two-Point Problems -- 13. Relationship between Exact and Approximate Determining Equations -- 14. Determination of Initial Values of Solutions of Two-Point Boundary-Value Problems -- 15. Realization of the Method for Systems of Two Equations -- Ch. 3. Numerical-Analytic Method for Boundary-Value Problems with Parameters in Boundary Conditions -- 16. Successive Approximations for Problems with One Parameter in Linear Boundary Conditions -- 17. Sufficient Solvability Conditions and Determination of the Initial Value of a Solution of the Boundary-Value Problem with Parameter -- 18. Boundary-Value Problems with Nonfixed Right Boundary -- 19. Solvability Theorems for Problems with Nonfixed Right Boundary -- 20. The Case of Several Parameters in Boundary Conditions -- 21. Linear Dependence of Boundary Conditions on Two Parameters -- Ch. 4. Collocation Method for Boundary-Value Problems with Impulses -- 22. Green Function of a Homogeneous Two-Point Boundary-Value Problem -- 23. Inhomogeneous Linear Impulsive Boundary-Value Problems -- 24. Convergence of the Algebraic Collocation Method of Nonlinear Systems -- 25. Method of Trigonometric Collocation for Periodic Systems -- 26. Practical Solution of Impulsive Problems -- 27. Green Function for a Three-Point Boundary-Value Problem with Single Impulse Influence -- 28. Semihomogeneous Linear Two-Point Boundary-Value Problem with m-Impulse Influence -- 29. Inhomogeneous Linear m-Impulse Two-Point Boundary-Value Problem -- 30. Multipoint m-Impulse Boundary-Value Problem -- 31. Equations with Piecewise-Continuous Right-Hand Side -- 32. Construction of Solutions of Two-Impulse Systems -- App. The Theory of the Numerical-Analytic Method: Achievements and New Trends of Development

0

Boundary value problems-- Numerical solutions

Number

Edition

Class number

Book number

Ronto, N. I., (Nikolaĭ Iosifovich)

Samoĭlenko, A. M., (Anatoliĭ Mikhaĭlovich)

Date of Transaction

20160712065403.0

Electronic name

[Book]

Y