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" Numerical-analytic methods in the theory of boundary-value problems / "
M. Ronto, A.M. Samoĭlenko
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BL
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| Record Number
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689070
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| Doc. No
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b511259
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| Main Entry
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Ronto, N. I., (Nikolaĭ Iosifovich)
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| Title & Author
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Numerical-analytic methods in the theory of boundary-value problems /\ M. Ronto, A.M. Samoĭlenko
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| Publication Statement
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Singapore ;River Edge, NJ :: World Scientific,, [2000]
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, ©2000
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| Page. NO
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ix, 455 pages :: illustrations ;; 23 cm
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| ISBN
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9789810236762
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: 981023676X
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| Bibliographies/Indexes
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Includes bibliographical references (pages 415-455)
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| Contents
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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
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| Subject
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Boundary value problems-- Numerical solutions
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| Dewey Classification
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515/.35
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| LC Classification
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QA379.R66 2000
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| Added Entry
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Samoĭlenko, A. M., (Anatoliĭ Mikhaĭlovich)
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